MATH 1-14.docx



Math Analysis Honors – MATH SheetsM = Modeling A = Again T = Today’s Topic H = Homework-114299241300#0 Tuesday 9/2 ________________________________________MWelcome to Math Analysis! I am looking forward to a productive and successful year. ASign up for class reminders one of two ways:1) Text: @mrsfabell to (949)383-4519 in order to receive text messages2) Send a blank email to mrsfabell@mail.TFamiliarize yourself with the procedures for this class. Stay eligible for the “contest”.HBe sure to print the worksheets.#1 Tuesday 9/2_________________________________________M1. Find the slope of the line through 2. Find the equation of the line with slope 4 and containing the point .3. Graph the line from Ex. 2.4. Find an equation for the line that contains the point and is parallel to the line .5. Find an equation for the line that contains the point and is perpendicular to the line .ASolve each equation algebraically: 1. 2. TLines – Calculate and Interpret the Slope of a Line, Graph Lines, Finding Equations of Lines, Parallel and Perpendicular LinesHWorksheet 1#2 Wednesday 9/3______________________________________MA truck rental company rents a moving truck for one day by charging $29 plus $0.07 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 110 miles? 230 miles?AFind the x- and y- intercepts of the graph of each function: 1. 2. TLinear Models – Work with Applications of Linear FunctionsHWorksheet 2#3 Thursday 9/4_______________________________________M1. For the function f defined by , evaluate(a) (b) (c) (d) (e) (f) (g) (h) 2. Find the values of a function on a calculator(a) (b) AIf and , what is the value of A?TEvaluating Functions, Using a graphing calculator, The Difference Quotient, Operations on FunctionsHWorksheet 3#4 Friday 9/5________________________________________MExplain where the given functions are defined:1. 2. 3. AExpress the area A of a rectangle as a function of the length x if the length of the rectangle is twice its width. Describe the domain of this function.TDomain of a FunctionHWorksheet 4#5 Monday 9/8________________________________________MConsider the function: (a) Is the point on the graph of f?(b) If , what is ? What point is on the graph?(c) If , what is x? What point is on the graph?(d) What is the domain of f?(e) List the x-intercepts, if any, of the graph of f?(f) List the y-intercepts, if any, of the graph of f? A1. The intercepts of the equation are____________.2. True or False: A function can have more than one y-intercepts. Explain your reasoning.TProperties of Graphs of Functions – x-intercepts, y-intercepts, HWorksheet 5#6 Tuesday 9/9_____________________________________MNoneANoneTIntroduction to Functions TestHNone#7 Wednesday 9/10______________________________________M The figure at left shows the graph of a function f.457200-3809 (a) At what number(s), if any, does f have a local maximum? (b) What are the local maxima? (c) At what number(s), if any, does f have a local minimum? (d) What are the local mimima? (e) List the interval(s) on which f is increasing. (f) List the interval(s) on which f is decreasing.AFind the domain of .TUsing a graph to determine where a function is increasing, decreasing and constant and to find Local Maxima and Local Minima HWorksheet 6#8 Thursday 9/11__________________________________________MUse a graphing utility to graph for . Determine the point at which has a local maximum and where f has a local minimum. Determine where f is increasing and where it is decreasing.AEvaluate for .TUsing a graphing calculator to determine where a function is increasing, decreasing and constant and to find Local Maxima and Local Minima HWorksheet 7#9 Friday 9/12_________________________________________MGraph the following functionsAGraph the following functions: 1. 2. 3. T Evaluating and Graphing Piecewise-Defined Functions HWorksheet 8#10 Monday 9/15_______________________________________MExploration 1: Graph Exploration 2: Graph Exploration 3: Graph Exploration 4: Graph AFind the equation of the line perpendicular to the line and containing the point. Graph both lines.TLibrary of Functions: Quadratic, Absolute Value, Square Root, Cubic; Transformations HWorksheet 9#11 Tuesday 9/16____________________________________M24447530480 Use the graph of f as the first step toward graphing each of the following functions:(b) (c) (d) (e) (f) AGiven that g is a linear function with slope of and , write the equation that defines g.TGraphing Techniques: TransformationsHWorksheet 10#12 Wednesday 9/17_____________________________________MNoneAFind the x- and y- intercepts of the graph of each function: 1. 2. TFunctions and Their Graphs Test HWorksheet 11#13 Thursday 9/18________________________________________MGraph: 1) 2) Identify the vertex and axis of symmetry.Change the quadratic function from standard form to transformation (vertex) form: . Identify the vertex and axis of symmetry.ASolve the quadratic equation by completing the square: TQuadratic Function; Graphing a Quadratic Function in Transformation (Vertex) FormHWorksheet 12#14 Friday 9/19________________________________MEx. 1 Given , find the x-coordinate of the vertex by completing the square and converting the standard form equation into vertex form.Ex. 2 Locate the vertex and axis of symmetry of the parabola defined by . Graph .Ex. 3 Graph . Determine where f is increasing and where it is decreasing.AGiven , list the transformations that occur in order to change into , if .TGraph a Quadratic Function in Standard Form using its Vertex and Axis of SymmetryHWorksheet 13 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download