Exam 2: Relations, Functions and Graphs

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Match each equation (a-f) to its graph (I-VI). a. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) b. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) c. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) d. r(x) = x + 2 e. h(x) = x3 - 2x2 + 2x - 1 f. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) I. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) II. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) III. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) IV. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) V. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) VI. Match each equation (a-f) to its graph (I-VI). a.   b.   c.   d. r(x) = x + 2 e. h(x) = x<sup>3</sup> - 2x<sup>2</sup> + 2x - 1 f.   I.   II.   III.   IV.   V.   VI.   (Gridlines on each graph are spaced one unit apart.) (Gridlines on each graph are spaced one unit apart.)

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Sketch the graph using transformations of a parent function (without a table of values). f(x) = Sketch the graph using transformations of a parent function (without a table of values). f(x) =

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Find the equation of the line perpendicular to x - 7y = 28 and through the point (1, -12). Write the answer in slope-intercept form.

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Use the following to answer questions : Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is decreasing. Write the answer in interval notation. Assume all endpoints have integer values. Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is decreasing. Write the answer in interval notation. Assume all endpoints have integer values. (Gridlines are spaced one unit apart.) -Name the interval(s) where the function is decreasing. Write the answer in interval notation. Assume all endpoints have integer values.

(Multiple Choice)
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Graph by plotting points or using the intercept method. x = 3

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Use the following to answer questions : f(x) = 5x2 - 4x - 5 and g(x) = 3x - 4 -Find h(x) = f(x) + g(x).

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Use the following to answer questions : f(x) = x3 + 2x -Use the difference quotient to find a rate of change formula for the function.

(Multiple Choice)
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Graph by plotting points or using the intercept method. y - 3x = 0

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Sketch the graph using transformations of a parent function (without a table of values). f(x) = -x2

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Determine whether the relation represents a function or nonfunction, then determine the domain and range. Determine whether the relation represents a function or nonfunction, then determine the domain and range.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

(Multiple Choice)
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Use the graph to solve the inequality f(x) ? 0. Write the answer in interval notation. Use the graph to solve the inequality f(x) ? 0. Write the answer in interval notation.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

(Multiple Choice)
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Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x2 + 2x - 3 Use the following to answer questions : A quadratic graph is shown. Assume required features have integer values. f(x) = x<sup>2</sup> + 2x - 3   (Gridlines are spaced one unit apart.) -Determine the range. (Gridlines are spaced one unit apart.) -Determine the range.

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Identify the center and radius of the circle, then graph. Also, state the domain and range of the relation. (x - 2)2 + (y - 1)2 = 9

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Use the following to answer questions : A cubic graph is shown. Assume required features have integer values. f(x) = x3 + 3x2 - x - 3 Use the following to answer questions : A cubic graph is shown. Assume required features have integer values. f(x) = x<sup>3</sup> + 3x<sup>2</sup> - x - 3   (Gridlines are spaced one unit apart.) -Identify the x- and y-intercepts. (Gridlines are spaced one unit apart.) -Identify the x- and y-intercepts.

(Multiple Choice)
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Use the following to answer questions : A cubic graph is shown. Assume required features have integer values. f(x) = x3 + 3x2 - x - 3 Use the following to answer questions : A cubic graph is shown. Assume required features have integer values. f(x) = x<sup>3</sup> + 3x<sup>2</sup> - x - 3   (Gridlines are spaced one unit apart.) -Describe the end behavior. (Gridlines are spaced one unit apart.) -Describe the end behavior.

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Use the following to answer questions : Use the following to answer questions :   and   -Evaluate (p∙q)(8). and Use the following to answer questions :   and   -Evaluate (p∙q)(8). -Evaluate (p∙q)(8).

(Short Answer)
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Use the following to answer questions : f(x) = Use the following to answer questions : f(x) =   and g(x) = 3x - 5 -State the domain of h(x) = (f ? g)(x). and g(x) = 3x - 5 -State the domain of h(x) = (f ? g)(x).

(Multiple Choice)
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For H(x) = For H(x) =   , find two functions p and q such that (p ◦ q)(x) = H(x). (Answers my vary.) , find two functions p and q such that (p ◦ q)(x) = H(x). (Answers my vary.)

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Write the equation in function form and identify the new coefficient of x and the new constant term. 5y + 6x = -40

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Find the equation of a circle with center (-7, 6) and radius Find the equation of a circle with center (-7, 6) and radius   . .

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