Name: ________________________________________ Date



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|What you need to know & be able|Things to remember |Problem |Problem |

|to do | | | |

|Recognize a Function |Make sure the same x doesn’t |Function or Not a Function? Why? |Function or Not a Function? Why? |

| |have different y’s |1. (2, 3) (-2, 5) (3, 3) (-2, 5) |2. |

| |In a graph, it should pass the| |3 |

| |vertical line test | |4 |

| | | |3 |

| | | |5 |

| | | | |

| | | |7 |

| | | |-2 |

| | | |-7 |

| | | |-2 |

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|Evaluate Function Notation from|Pick the correct function and |Evaluate questions 3-6 using the following functions: |

|an Equation |plug in for all variables. |[pic] [pic] [pic] |

| | |f(3) = |g(-2) = |

| | | | |

| | |g(3) = |h(-1) = |

|Evaluate Function Notation from|Remember that a table is |Use the following table to answer questions |G(3) = |

|a Table |already a set of inputs and |7-9. | |

| |outputs |X |G(6) = |

| | |2 | |

| | |3 |G(x) = -1, x = |

| | |4 | |

| | |5 | |

| | |6 | |

| | | | |

| | |G(x) | |

| | |-1 | |

| | |-3 | |

| | |-4 | |

| | |-3 | |

| | |-1 | |

| | | | |

| | | | |

|Evaluate Function Notation from|Find the correct coordinate |Use the following graph to answer questions |M(6) = |

|a Graph |pair from the graph. |10-12. | |

| |If you know the y-value, there|Think of the graph below as function M(h) where|M(h) = 2, h = |

| |might be multiple x-values |h is the time in hours and M is her miles from | |

| | |home. |Explain the meaning of #10 and #11. |

| | |[pic] | |

|Find Average Rate of Change |Find y’s for each x. | For -2 < x < 3 | For –1 < x < 2 |

| |Use formula [pic] |f(x) = 3x – 4 |x |

| | | |-1 |

| | | |0 |

| | | |1 |

| | | |2 |

| | | | |

| | | |H(x) |

| | | |5 |

| | | |3.5 |

| | | |2 |

| | | |0.5 |

| | | | |

|Isolate a Variable in a Formula|PEMDAS |Solve for x: y = -5x + 45 |Solve for L: P = 2(L + W) |

| |Backwards, from the ground up!| | |

|Describe the Domain and Range |Continuous functions are |Describe the domain and range of the following. |

|of a Function |CONNECTED and use interval | |

| |notation | |

| |___ < x < ___ | |

| |Discrete functions are NOT | |

| |CONNECTED and use set notation| |

| |{__, __, __, __} | |

| | |(2, 4) (3, -3) (1, 5) (-2, 4) | |

| | | |[pic] |

| | | | |

| | | | |

| | |x | |

| | |3 | |

| | |4 | |

| | |3 | |

| | |5 | |

| | | | |

| | |f(x) | |

| | |7 | |

| | |-2 | |

| | |-7 | |

| | |-2 | |

| | | | |

|Write a Linear Equation from a |y = mx + b |Crystal gets paid $250 a week and $50 for every|Andy wants to mail a package. It costs $7 plus |

|Scenario | |computer she sells. Write an equation in |$0.25 for every ounce the package weighs. Write an |

| |m – increase or decrease |function notation that represents her weekly |equation in function notation that represents the |

| |b – starting point |income. |total cost of shipping the package. |

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| | | | |

|Compare Linear Equations |Write 2 linear equations |Two companies are offering deals on leasing a new car. Toyota says that they will charge you $2000|

| |Graph the equations to find |to begin with and then you will pay $200 each month. Honda says that they will charge you $1000 to|

| |where they are the same |begin with but you will pay $400 each month. |

| |y = mx + b | |

| | |Write an equation for each company. |

| | |Toyota: Honda: |

| | | |

| | | |

| | |Which company has the greater rate of change? |

| | | |

| | | |

| | | |

| | |Which company had the lesser y-intercept? |

| | | |

| | | |

| | | |

| | |Which company is better for 5 months? |

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| | | |

| | |When will it be cheaper to buy a car from Toyota? |

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| | | |

|Solve Consecutive Integer |Start with x. |3 consecutive integers add up to 123. Find the |Three consecutive EVEN integers add up to 336. Find|

|Problems |x + (x+1) + (x+2)+...= |three integers. |the integers. |

|Solve Perimeter Problems |Draw a picture |The width of a rectangle is 5 feet longer than |The length of a rectangle is nine inches more than |

| |Define your length and width |the length. The perimeter of the rectangle is |the width. The perimeter is 34 inches. Find the |

| |Add all 4 sides |110 feet. Find the length and the width. |length and width. |

| |Solve for both variables | | |

|Describe Characteristics of |Domain |Graph the funtion [pic] | |

|Linear Functions |Range | |Domain: __________ |

| |Y-int | | |

| |X-int | |Range: ___________ |

| |Inc/Dec | | |

| |Asymptote | |X-Int:________ Y-Int: _______ |

| |Rate of Change | |Inc or Dec |

| | | |RoC from x = 0 to 2: _______ |

|Solve for 2-variable Equations |ax + by = c |Gordon is going to buy fruit for a smoothie. He|Using your equation from #34, solve for R, the |

| |Never move the variable you’re|wants raspberries, R, that are $4 a carton and |number of raspberries. |

| |solving for. |strawberries, S, that are $2 a carton. Write an| |

| | |equation to represent all the combinations of | |

| | |fruit if Tony has $24 to spend. | |

| | | | |

| | | | |

| | | |If he buys 2 cartons of raspberries, how many |

| | | |strawberries can he buy? |

|Write and solve a system of |Define x and y. |Amy’s school is selling tickets to a choral |The band is selling wrapping paper for a |

|equations |Set up two equations. |performance. A senior citizen’s ticket is $3 |fundraiser. Customers can buy plain and shiny |

| |Decide the best method. |and a child’s ticket is $5. If they made $1450 |wrapping paper. Suzy bought 2 plain and 2 shiny |

| |Solve. |dollars and sold a total of 350 child and |rolls for $28. Oscar bought 4 plain and 1 shiny |

| | |senior citizen tickets, how many of each ticket|roll for $29. How much does each type of wrapping |

| | |did they sell? |paper cost? |

|Use the Recursive Form of an |Requires TWO parts. |Write the recursive rule for the sequence 9, 5,|Write the first 4 terms of the sequence a1= 5, an= |

|Arithmetic Sequence |a1= first term |1, -3, -7… |an-1 + 2 |

| |an= an-1 ± common difference | | |

|Use the Closed/Explicit Form of|Use the formula an = a1 + d(n |Write the explicit equation for the sequence |Write the first 5 terms of the sequence an = 3n –|

|an Arithmetic Sequence |– 1) |9, 5, 1, -3, -7… |4 |

| |Takes the form | | |

| |y = mx + b after being | | |

| |simplified |What is the domain and range of the sequence in | |

| | |#41? |What is the 200th term? |

| | | | |

|Write and Solve an Inequality |Pay attention to the direction|Yuri needs at least $1200 to pay for his car. He currently has $150. He makes $10 an hour at |

| |of the inequality sign. When |Subway and $15 an hour mowing lawns. |

| |multiplying or dividing by a | |

| |negative, switch the |Write an inequality that represents Yuri’s money needs. Use x for hours worked at Subway and y for|

| |direction. |hours mowing lawns. |

| |Shade on the graph to | |

| |represent ALL of the possible | |

| |solutions |If Yuri works 15 hours at Subway, how many hours does he need to work mowing lawns? |

| |Maximums and Minimums will be | |

| |found at the intercepts | |

| | |If Yuri works 30 hours mowing lawns, how many hours does he need to work at Subway? |

| | | |

| | | |

| | |Graph the inequality. |

| | |[pic] |

| | |What is the minimum number of hours that Yuri could work and still have enough money? |

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|Graphing a system of linear |Make sure both equations are | [pic] | [pic] |

|inequalities. |in slope-intercept form. |[pic] | |

| |Decide if the lines will be | |[pic] |

| |solid or dashed. | | |

| |Graph the lines. | | |

| |Test a point-typically (0,0). | | |

| |Shade appropriately. | | |

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