DO NOW



Integrated Math IUnit 2: Functions and Function Notation Week 4 MondayThis week we will learn what a function is, and the different representations of a function. We will focus on linear functions, which graph to a line. We will discuss a variety of vocabulary terms which will be on Keep Sheet 4Office Hours This Week: Thursday 9/7/17DayActivityPagesTopicAssignmentMonday 9/4Labor Day No SchoolTuesday 9/55.13-9Relations and FunctionsPractice 5.1 &5.2Pg. 51-525.210-13Domain and RangeWednesday 9/65.314-17Function NotationPractice 5.3 & 6.1Pg. 49-506.118-26Slope and Rate of ChangeThursday 9/76.227-34Direct and Indirect Var.Practice 6.2-6.3Pg. 47-486.335-41Slope-Intercept FormFriday 9/87.142-45Graphing Two-Variable EquationsNoneQuizPaper section of QuizLooking Forward to Next WeekMonday: ProCore section of QuizTuesday-Thursday: continue working on functionsFriday: Unit 2 Quiz 2Integrated Math IFunctions and Function Notation 5.1 Relations and Functions9/5/17AIM(S): WWBAT Represent relations and functions using tables, diagrams, and graphs. WWBAT Identify relations that are functions.3916045517207500DO NOWDirections: Complete the following questions. 30619702413000Answer each item. Show your plete the table of values.2. List the integers that make this statement true.-3 ≤ x < 43. Evaluate for a = 3 and b = -2.a. 2a - 5 b. 3b + 4a4. Name the point for each ordered pair.(?3, 0) (?1, 3) (2, ?2)Think of a Function as a Vending MachineUse this machine to answer Items 1–3.-6223015430500Make sense of problems. What DVD would you receive if you inserted your money and pressed:A1?C2?B3?Each time you press a button, an input, you may receive a DVD, an output.In the DVD vending machine situation, does every input have an output? Explain your response.508444553149500Each combination of input and output can be expressed as a mapping written input→output. For example, B2→The Amazing Insectman.Write as mappings each of the possible combinations of buttons pushed and DVDs received in the vending machine. Create a table to illustrate how the inputs and outputs of the vending machine are related.Ways to Show RelationsMappings that relate values from one set of numbers to another set of numbers can be written as . A is a set of ordered pairs. Relations can have a variety of representations. Consider the relation 522414516319500 {(1, 4), (2, 3), (6, 5)}, shown here as a set of ordered pairs. This relation can also be represented in these ways. 507174534480500Write the following numerical mappings as ordered pairs.Input Output Ordered Pairs1→ ?2 (1, ?2)2 →13 →44 →7Different representations show the same relationSet of ordered pairsTableMapping DiagramGraphEquationCheck Your Understanding4951095115951000A vending machine at the Ocean, Road, and Air show creates souvenir coins. You select a letter and a number and the machine creates a souvenir coin with a particular vehicle imprinted on it. The graph shows the vending machine letter/number combinations for the different coins. Make a table showing each coin’s letter/number combination.Write the letter/number combinations as a set of ordered pairs.Write the letter/number combinations in a mapping diagram.What is a Function?A function is a relation in which each input is paired with exactly one pare and contrast the DVD vending machine with a function.Imagine a machine where you input an age and the machine gives you the name of anyone who is that age. Compare and contrast this machine with a function. Explain by using examples and create a representation of the situation.515747034036000Create an example of a situation (math or real-life) that behaves like a function and another that does not behave like a function. Explain why you chose each example to fit the category.Behaves like a function: Does not behave like a function:Determine whether the ordered pairs and equations represent functions. Explain your answers.{(5, 4), (6, 3), (7, 2)}{(4, 5), (4, 3), (5, 2)}y = 3x - 5, where x represents input values and y represents output valuesAttend to precision. Using positive integers, write two relations as lists of ordered pairs below, one that is a function and one that is not a function.Function:Not a function:Vertical Line TestWhen a relation is represented as a graph, the vertical line test can be used to determine whether the relation is a function.48812459080500Use the vertical line test to determine whether the relation shown in each graph is a function.Check Your UnderstandingDoes the mapping shown represent a function? Explain.Does the graph shown represent a function? Explain.Integrated Math IFunctions and Function Notation 5.2 Domain and Range9/5/17AIM(S): WWBAT Describe the domain and range of a function. WWBAT Find input-output pairs for a function.Domain versus RangeThe set of all inputs for a function is known as the domain of the function. The set of all outputs for a function is known as the range of the function.488124549911000Consider a vending machine where inserting 25 cents dispenses one pencil, inserting 50 cents dispenses 2 pencils, and so forth up to and including all 10 pencils in the vending machine.Identify the domain in this situation.Identify the range in this situation.For each function below, identify the domain and range. Consider a machine that exchanges quarters for dollar bills. Inserting one dollar bill returns four quarters and you may insert up to five one-dollar bills at a time.Is 7 a possible input for the relation this change machine represents? Justify your response.Could 3.5 be included in the domain of this relation? Explain why or why not.Reason abstractly. What values are not in the domain? Justify your reasoning.Is 8 a possible output for the relation this change machine represents? Justify your response.Could 3 be included in the range of this relation? Explain why or why not.What values are not in the range? Justify your reasoning.511746566992500Make sense of problems. Each of the functions that you have seen has a finite number of ordered pairs. There are functions that have an infinite number of ordered pairs. Describe any difficulties that may exist trying to represent a function with an infinite number of ordered pairs using the four representations of functions that have been described thus far.Sometimes, machine diagrams are used to represent functions. In the function machine below, the inputs are labeled x and the outputs are labeled y. The function is represented by the expression 2x + 5.What is the output if the input is x = 7 ? x = -2? x=12?Express regularity in repeated reasoning. Is there any limit to the number of input values that can be used with this expression? Explain.Consider the function machine below.Use the diagram to find the (input, output) ordered pairs for the following values.x = -5 x=35x = -10Make a function machine for the expression 10 - 5x. Use it to find ordered pairs for x = 3, x = -6, x = 0.25, and x=34Creating a function machine can be time consuming and awkward. The function represented by the diagram in Item 5 can also be written algebraically as the equation y = 2x + 5.For each function, find ordered pairs for x = -2, x = 5, x=23, and x = 0.75. Create tables of values. y = 9 - 4x b. y=1xCheck Your Understanding 5.2The set {(3, 5), (-1, 2), (2, 2), (0, -1)} represents a function. Identify the domain and range of the function. Identify the domain and range for each function.Integrated Math IFunctions and Function Notation5.3 Function Notation9/6/2017AIM(S): WWBAT Use and interpret function notation. WWBAT Evaluate a function for specific values of the domain.DO NOWDirections: Complete the following questions. Explain how you would plot (3, ?4) on a coordinate plane.Which of the following equations represents the data in the table?If 2x - 6 = 4x - 2, what is the value of x?A. 4 B. 2 C. 0 D. ?2Which of the following are the coordinates of a point on this line?When referring to the functions in Item 8 in Lesson 5-2, it can be confusingto distinguish among them since each begins with “y =.” Function notationcan be used to help distinguish among different functions.482727017335500For instance, the function y = 9 ? 4x in Item 8a can be written:4776470118364000To distinguish among different functions, it is possible to use different names. Use the name h to write the function from Item 8b in Lesson5-2 using function notation.Function notation is useful for evaluating functions for multiple input values.To evaluate f(x) = 9 - 4x for x = 2, you substitute 2 for the variable x and write f(2) = 9 - 4(2). Simplifying the expression yields f(2) = 1.Use function notation to evaluate f(x) = 9 - 4x for x = 5, x = -3, and x = 0.5.Use the values for x and f(x) from Item 2. Display the values using each representation.a. list of ordered pairs b. table of valuesc. mapping d. graphGiven the function f(x) = 9 - 4x as shown above, what value of x results in f(x)=1?Evaluate each function for x = -5 and x= 4a. f(x) = 2x - 7 b. g(x) = 6x - x2hx=2x2Reason quantitatively. Recall the money-changing machine from Item 3 in Lesson 5-2, in which customers can insert up to five one-dollar bills at a time and receive an equivalent amount of quarters. The function f(x) = 4x represents this situation. What does x represent? What does f(x) represent?A function whose domain is the set of positive consecutive integers forms asequence. The terms of the sequence are the range values of the function. Forthe sequence 4, 7, 10, 13, …, f(1) = 4, f(2) = 7, f(3) = 10, and f(4) = 13.Consider the sequence -4, -2, 0, 2, 4, 6, 8, ….What is f(3)?What is f(7)?Check Your Understanding 5.3Evaluate the functions for the domain values indicated.p(x) = 3x + 14 for x = -5, 0, 4h(t) = t2 - 5t for t = -2, 0, 5, 7Consider the sequence -7, -3, 1, 5, 9, ….What is f(2)?What is f(5)?Integrated Math IFunctions and Function Notation6.1 Slope and Rate of Change9/6/2017AIM(S): WWBAT Understand the connection between rate of change and slope of a linear function. WWBAT Identify functions that do not have a constant rate of change and understand that these functions are not linear. WWBAT Find the slope of a line and understand when the slope is positive, negative, zero, or undefined.Equations in a Diving ExpeditionMargo is a marine biologist. She is preparing to go on a diving expedition to study a coral reef. As she loads the boat with the supplies she will need, she uses a ramp like the one shown in the following diagram:Notice the terms rise and run in the diagram. What do you think these terms mean in this context?376872518288000Consider the line in the graph to the right:Vertical change can be represented as a change in y, and horizontal change can be represented by a change in x.What is the vertical change between:points A and B? points A and C? points C and D?39782753746500What is the horizontal change between:points A and B? points A and C? points C and D?The ratio of the vertical change to the horizontal change determines the slope of the line.Find the slope of the segment of the line connecting:points A and B points A and C points C and DWhat do you notice about the slope of the line in Items 4a, 4b, and 4c?What does your answer to Item 5 indicate about points on a line?Slope is sometimes referred to as riserun. Explain how the ratio riserun relates to the ratios for finding slope mentioned above.The slope m of a line can be calculated numerically using any two points (x1, y1) and (x2, y2) on the line. The vertical change, y, of the line through these two points is y2-y1 or y1-y2. 491934554102000The horizontal change, x, of the line through these two points is x2-x1 or x1-x2. Note that the first x-coordinate of the denominator of the slope formula is from the same ordered pair as the first y-coordinate of the numerator. ExampleUse the slope formula to determine the slope of a line that passes throughthe points (5, 6) and (?1, 4).Check Your UnderstandingUse the slope formula to determine the slope of a line that passes through the points (6, 2) and (8, 6).Use the slope formula to determine the slope of a line that passes through the points (?4, 0) and (3, ?1).Compute the slope of the same line described in Example A, but let (x1, y1) = (?1, 4) and (x2, y2) = (5, 6). Show your work.What do you notice about the slope computed in Example A and the slope computed in Item 8?Reason abstractly. What does your answer to Item 9 tell you about choosing which point is (x1, y1) and which point is (x2, y2)?The rate of change for a function is the ratio of the change in y, the dependent variable, to the change in x, the independent variable.Try TheseCritique the reasoning of others. Anthony computed the slope of the line that passes through the points (4, 3) and (?2, 1). His calculation is shown below:Is Anthony’s calculation correct? Explain why or why not.Use the slope formula to determine the slope of a line that passes through the points (4, 9) and (?8, ?6).Use the slope formula to determine the slope of the line that passes through the points (?5, ?3) and (9, ?10).Explain how to find the slope of a line from a graph.Explain how to find the slope of a line when given two points on the line.Aliyah has saved $375. She wants to buy books that cost $3 each.Write a function f(x) for the amount of money that Aliyah still has if she buys x books.Make an input/output table of ordered pairs and then graph the function.Does the function have a constant rate of change? If so, what is it?What is the slope of the line that you graphed?Describe the relationship between the slope of the line, the rate of change, and the equation of the line.Describe the meaning of the slope within the context of Aliyah’s savings.How does this slope differ from the other slopes that you have seen in this activity?Check Your UnderstandingThe constant rate of change of a function is ?5. Describe the graph of the function as you look at it from left to right.Does the table represent data with a constant rate of change? Justify your answer. The table below represents a function.-654055143500 Determine the rate of change between the points (?8, 62) and (?6, 34).Determine the rate of change between the points (?1, ?1) and (1, ?1).Construct viable arguments. Is this a linear function? Justify your answer.Determine the slopes of the lines shown.Express regularity in repeated reasoning. Summarize your findings in Item 20. Tell whether the slopes of the lines described in the table below are positive, negative, 0, or undefined.Check Your UnderstandingSuppose you are given several points on the graph of a function. Without graphing, how could you determine whether the function is linear?How can you tell from a graph if the slope of a line is positive or negative?Describe a line having an undefined slope. Why is the slope undefined?Integrated Math IFunctions and Function Notation6.2 Direct and Indirect Variation9/7/2017AIM(S): WWBAT Recognize that direct variation is an example of a linear function. WWBAT Write, graph, and analyze a linear model for a real-world situation. WWBAT Distinguish between direct variation and indirect variation. DO NOWDirections: Complete the following questions. Margo is loading the boat with supplies she will need for her diving expedition. Each box is 10 inches plete the table and make a graph of the data points (number of boxes, height of the stack).51955702476500Write a function to represent the data in the table and graph above.What do f(x), or y, and x represent in your equation from Item 2? Direct versus Indirect4814570762000The number of boxes is directly proportional to the height of the stack. Use a proportion to determine the height of a stack of 12 boxes. When two values are directly proportional, there is a direct variation. In terms of stacking boxes, the height of the stack varies directly as the number of boxes.Using variables x and y to represent the two values, you can say that y varies directly as x. Explain this statement.Direct variation is defined as y = kx, where k≠0 and the coefficient k is the constant of variation.Consider your answer to Item 2. What is the constant of variation in your function?Why do you think the coefficient is called the constant of variation?Reason quantitatively. Explain why the value of k cannot be equal to 0.Write an equation for finding the constant of variation by solving the equation y = kx for k.Interpret the meaning of the point (0, 0) in your table and graph.True or false? Explain your answer. “The graphs of all direct variations are lines that pass through the point (0, 0).”Identify the slope and y-intercept in the graph of the stacking boxes.Describe the relationship between the constant of variation and the slope.Synthesize information:Check Your UnderstandingTell whether the tables, graphs, and equations below represent direct variations. Justify your answers.Huan is stacking identical boxes on a pallet. The table below shows the height from the floor to the top of the boxes.-6540517018000Make a graph of the data. Write an equation that gives the height, h, of a stack of n boxes, including the pallet. Explain what the numbers in the equation represent.Does the function represent direct variation? Explain how you can tell from the graph and from the equation.Use your equation to find the height of a stack of 16 boxes, including the height of the pallet.Check Your Understanding The equation h = 0.25n + 8.5 gives the height h in inches of a stack of n paper cups.What would be the height of 25 cups? Of 50 cups?Graph this equation. Describe your graph.Margo is loading the supplies she will need for her experiments. All of these boxes have a volume of 400 cubic inches and a height of 10 inches. The lengths and the widths will vary.-50802603500To explore the relationship between length and width, complete the table and make a graph of the points.How are the lengths and widths in Item 14 related? Write an equation that shows this relationship.Use the equation you wrote in Item 15 to write a function to represent the data in the table and graph above.Describe any patterns that you notice in the table and graph representing your function.In terms of box dimensions, the length of the box varies indirectly as the width of the box. Therefore, this function is called an indirect variation.485584526733500Recall that direct variation is defined as y = kx, where k≠0 and the coefficient k is the constant of variation.How would you define indirect variation in terms of y, k, and x?Are there any limitations on these variables as there are on k in direct variation? Explain.Write an equation for finding the constant of variation by solving for k in your answer to part a.Reason abstractly. Compare and contrast the equations of direct and indirect pare and contrast the graphs of direct and indirect variation. Check Your UnderstandingIdentify each graph as direct variation, indirect variation, neither, or both.Which equations are examples of indirect variation? Justify your answers.In the equation y=80x, what is the constant of variation?Integrated Math IFunctions and Function Notation6.3 Slope-Intercept Form9/7/2017AIM(S): WWBAT Write the equation of a line in slope-intercept form. WWBAT Use slope-intercept form to solve problems.WWBAT Understand that a linear equation can be written in different forms, including slope-intercept, point-slope, and standard form.Equations from a Scenario4964430000To study the coral reef, Margo must dive below the ocean’s surface. When a diver descends in a lake or ocean, pressure is produced by the weight of the water on the diver. As a diver swims deeper into the water, the pressure on the diver’s body increases at a rate of about 1 atmosphere of pressure per 10meters of depth. The table and graph below represent the total pressure, y, on a diver given the depth, x, under water in meters. 486537047180500Write an equation describing the relationship between the pressure exerted on a diver and the diver’s depth under water.Attend to precision. What is the slope of the line? What are the units of the slope?What is the y-intercept? Explain its meaning in this context. 4881245317500Identify the slope and y-intercept of the line described by the equation y = -2x + 9.Create a table of values for the equation y = -2x + 9. Then plot the points and graph the line.Explain how to find the value of the slope from the table. What is the value of the slope of the line?Explain how to find the y-intercept from the table. What is the y-intercept?Explain how to find the value of the slope from the graph. What is the value of the slope?Explain how to find the y-intercept from the graph. What is the y-intercept?Check for Understanding 2.3What are the slope and y-intercept of the line described by the equation y=-45x-10 ?Write the equation in slope-intercept form of the line that is represented by the data in the table.Write the equation, in slope-intercept form, of the line with a slope of 4 and a y-intercept of (0, 5).Write an equation of the line graphed below.Monica gets on an elevator in a skyscraper. The elevator starts to move at a rate of ?20 ft/s. After 6 seconds on the elevator, Monica is 350 feet from the ground floor of the building. Use this information for Items 14–16. The rate of the elevator is negative. What does this mean in the situation? What value in the slope-intercept form of an equation does this rate represent?How many feet was Monica above the ground when she got on the elevator? Show how you determined your answer.What value in the slope-intercept form does your answer to part a represent?Model with mathematics. Write an equation in slope-intercept form for the motion of the elevator since it started to move. What do x and y represent?What does the y-intercept represent?Use the equation you wrote to determine, at this rate, how long it will take after Monica enters the elevator for her to exit the elevator on the ground floor. Explain how you found your answer.Check Your UnderstandingWrite the equation 3x - 2y = 16 in slope-intercept form. Explain your steps.A flowering plant stands 6.5 inches tall when it is placed under a growing light. Its growth is 0.25 inches per day. Today the plant is 11.25 inches tall.Write an equation in slope-intercept form for the height of the plant since it was placed under the growing light.In your equation, what do x and y represent?Use the equation to determine how many days ago the plant was placed under the light.Two other forms of linear equations are point-slope form and standard form. The table summarizes the three forms of linear equations and shows the linear function in the following graph written in each form.48552433301900 A line has a slope of 32 and passes through the point (?4, 5).Write an equation of the line in point-slope form.Write an equation of the line in slope-intercept form.Write an equation of the line in standard form.Check Your UnderstandingWrite the equation y=-65x-4 in standard form.Write an equation in standard form for the line that is represented by the data in the table.Integrated Math IFunctions and Function Notation7.1 Graphing Two-Variable Equations9/8/2017AIM(S): WWBAT Write equations in two variables to represent relationships between quantities. WWBAT Graph equations on coordinate axes with labels and scales. WWBAT Describe the domain and range of a linear function.Do NowTravis Smith and his brother, Roy, are co-owners of a trucking company. They want to increase their business, so they budgeted $1360 for one month of advertising. After doing some research, they decided to advertise their trucking service to farmers using billboards on state highways and radio advertisements. Billboards rent for $100 per month, and radio advertisements cost $40 per 30-second ad.Model with mathematics. Travis and Roy want to know how the rental of each billboard affects their available money. Fill in the table below. Plot the points on the grid.What pattern do you see in the graph? What pattern do you see in the table?Explain how you determined the values for renting 8, 10, and 13 billboards.Write an equation for the amount of money M that Travis and Roy have remaining in terms of the number of billboards rented b.465010519304000What is the domain of the function described in Item 4? What does the domain represent?What is the range of the function in Item 4? What does the range represent?Suppose you draw a line through the points in the graph in Item 1. What information do the values ?100 and 1360 from the function in Item 4 give you about the graph? Use mathematical terminology in your answer. Travis and Roy also need to consider how buying radio advertisements will affect their money.Write an equation for the money, M, that Travis and Roy have left, in terms of the number of radio ads r.469074529210000Use appropriate tools strategically. Graph your function. 477964516319500What kind of function did you write in Item 8?The rate of change of a function is the ratio of the amount of change in the dependent variable to the amount of change in the independent variable.What is the rate of change for the function you wrote in Item 8 including units?What does the y-intercept of your graph in Item 8 represent?460819511811000Make sense of problems. Are all the values for r on your graph valid in this situation, given that r represents the number of radio ads that Travis and Roy can buy? Explain.46247766985000Check Your UnderstandingIf you know the coordinates of two points on the graph of a linear function, how can you determine the function’s rate of change?What is the relationship between the rate of change of a linear function and the slope of its graph?Using your answers to Items 13 and 14, explain how to write the equation of a line when you are given the coordinates of two points on the line.Name:_________________ ______Date: 9/7/17Block: ___________________156845-239395Is this a re-submit?00Is this a re-submit?Functions and Function NotationPractice6.2 and 6.3Direct and Indirect Variation Slope-Intercept FormMs. Huber614-859-0019Mshubermath. 8ABCDFDue Date:9/8/17Accepted Until:9/15/17Directions: Complete all of the below problems (FRONT AND BACK). If you have questions, first check the examples in your packet. Then, check the class website or ask a classmate for help. Then, you can meet with Ms. Huber at office hours of by texting if you still have questions. 6.2In the equation y = 15x, what is the constant of variation?The value of y varies directly with x and the constant of variation is 7. What is the value of x when y = 63? Model with mathematics. The height of a stack of boxes varies directly with the number of boxes. A stack of 12 boxes is 15 feet high. How tall is a stack of 16 boxes?A consultant earns a flat fee of $75 plus $50 per hour for a contracted job. The table shows the consultant’s earnings for the first four hours she works.The consultant has a 36-hour contract. How much will she earn?FLIP OVER6.3 What are the slope, m, and y-intercept, (0, b), of the line described by the equation 3x + 6y = 12?Write an equation in slope-intercept form for the line that passes through the points (6, ?3) and (0, 2). Matt sells used books on the Internet. He has a weekly fee he has to pay for his website. He has graphed his possible weekly earnings, as shown.-294640016573500 What is the weekly fee that Matt pays for his website? How do you know?How much does Matt make for each book sold? How do you know?Write the equation in slope-intercept form for the line in Matt’s graph.How many books does Matt have to sell to make $30 for the week? Explain.Name:_________________ ______Date: 09/06/2017Block: ___________________2235204445Is this a re-submit?00Is this a re-submit?Practice5.3-6.1Linear Equations and Inequalities Writing ExpressionsWriting and Int. EquationsMs. Huber614-859-0019Mshubermath. / 9ABCDFDue Date:9/7/17Accepted Until:9/14/17Directions: Complete all of the below problems (FRONT AND BACK). If you have questions, first check the examples in your packet. Then, check the class website or ask a classmate for help. Then, you can meet with Ms. Huber at office hours of by texting if you still have questions. 5.3Use the function y =x2 - 3x - 4 for Items 1-3.Write the function in function notation. Evaluate the function for x = -2. Express your answer in function notation.Make use of structure. For what value of x does f(x) = -4?FLIP OVER6.1Critique the reasoning of others. Connor determines the slope between (?2, 4) and (3, ?3) by calculatingApril determines the slope by calculating. Explain whose reasoning is correct. The art museum charges an initial membership fee of $50.00. For each visit the museum charges $15.00.Write a function f(x) for the total amount charged for x trips to the museum.What is the rate of change? What is the slope of the line?How does the slope of this line relate to the number of museum visits? Make use of structure. Sketch a line for each description.The line has a positive slope.The line has a negative slope.Name:_________________ ______Date: 09/05/2017Block: ___________________208280-31750Is this a re-submit?00Is this a re-submit?Functions and Function NotationPractice5.1 & 5.2Functions and RelationsDomain and RangeMs. Huber614-859-0019Mshubermath.7ABCDFDue Date:9/6/2017Accepted Until:9/13/2017Directions: Complete all of the below problems (FRONT AND BACK). If you have questions, first check the examples in your packet. Then, check the class website or ask a classmate for help. Then, you can meet with Ms. Huber at office hours of by texting if you still have questions. 4258945118745005.1 For the Bingo card to the right, suppose that a combination of a column letter and a row number, such as B1, represents an input, and the number at that location, 7, represents an output. Use this information for Items 1-3.What output corresponds to I2?What input corresponds to 54?Does every input have a numerical output? Explain.Construct viable arguments. Explain why each of the following is not a function.391922044450FLIP OVER5.2Identify the domain and range.Identify the domain and rangeFor each functions below, find ordered pairs for x = -1, x = 3, x=12 and x = 0.4. Write your results as a set of ordered pairs.y=4xb. y=2-x2 ................
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