Exam 2: Relations, Functions and Graphs

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Use the following to answer questions : f(x) = Use the following to answer questions : f(x) =   and g(x) =   -Determine the domain of the quotient of f and g. and g(x) = Use the following to answer questions : f(x) =   and g(x) =   -Determine the domain of the quotient of f and g. -Determine the domain of the quotient of f and g.

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Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated. Determine whether the relation represents a function or nonfunction. If a nonfunction, explain how the definition of a function is violated.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

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Use the distance formula to find the length of the line segment. Use the distance formula to find the length of the line segment.   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

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Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicular, or neither. L1: (9, 2) and (3, -8) L2: (5, 5) and (-5, -1)

(Multiple Choice)
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Use the following to answer questions : Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g)(3). Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g)(3). (Gridlines on each graph are spaced one unit apart.) -Find (f ∙ g)(3).

(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 -Find h(x) = (g ◦ f)(x). and g(x) = 3x - 5 -Find h(x) = (g ◦ f)(x).

(Multiple Choice)
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Use the following to answer questions : Y1 = -2|x - 3| + 8 Y2 = (x - 5)2 + 1 Use the following to answer questions : Y<sub>1</sub> = -2|x - 3| + 8 Y<sub>2</sub> = (x - 5)<sup>2</sup> + 1   (Gridlines are spaced one unit apart.) -State the range of the function (Gridlines are spaced one unit apart.) -State the range of the function

(Multiple Choice)
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Determine the value of f(a + 1) if f(x) = -5x + 1, then simplify as much as possible.

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Use the following to answer questions : Use the following to answer questions :   and   -Determine the domain of (p?q). and Use the following to answer questions :   and   -Determine the domain of (p?q). -Determine the domain of (p?q).

(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.) -Identify the axis of symmetry. (Gridlines are spaced one unit apart.) -Identify the axis of symmetry.

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Determine whether the relation represents a function or a nonfunction. If the relation is a nonfunction, explain how the definition of a function is violated. {(2, -5), (-1, -4), (4, -7), (1, -2), (-1, -6), (6, -8)}

(Multiple Choice)
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Determine the location of any max or min value(s). Determine the location of any max or min value(s).     (Gridlines are spaced one unit apart.) Determine the location of any max or min value(s).     (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

(Multiple Choice)
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Graph the linear equation using the y-intercept and the slope indicated. y = 4x - 5

(Essay)
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Use the following to answer questions : f(x) = x2 - 64 and g(x) = x + 8 -Find h(x) = Use the following to answer questions : f(x) = x<sup>2</sup> - 64 and g(x) = x + 8 -Find h(x) =   . .

(Short Answer)
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Use the following to answer questions : f(x) = x3 + 2x -Calculate the rate of change for the interval [1.00, 1.01]. Round your answer to the nearest tenth.

(Multiple Choice)
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Write the equation in factored form to find the center and radius of the circle. x2 + y2 + 14x - 2y + 3 = 0

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