Exam 2: Relations, Functions and Graphs

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Use the following to answer questions : Use the following to answer questions :   and   -Compute the product H(x) = (p∙q)(x). and Use the following to answer questions :   and   -Compute the product H(x) = (p∙q)(x). -Compute the product H(x) = (p∙q)(x).

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B

Determine the value of g(2a) if g(x) = 4x + 1.

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8a + 1

Name the interval(s) where the function is increasing, decreasing, or constant. Write answers using interval notation. Assume all endpoints have integer values. Name the interval(s) where the function is increasing, decreasing, or constant. Write answers using interval notation. Assume all endpoints have integer values.     (Gridlines are spaced one unit apart.) Name the interval(s) where the function is increasing, decreasing, or constant. Write answers using interval notation. Assume all endpoints have integer values.     (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

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f(x) \uarr : x \in (-3, 0) \cup (3, ?); f(x) \downarrow : x \in (0, 3); constant: x \in (-?, -3)

Use the following to answer questions : Use the following to answer questions :   -Graph the piecewise-defined function. -Graph the piecewise-defined function.

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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)(-1). Use the following to answer questions :     (Gridlines on each graph are spaced one unit apart.) -Find (f - g)(-1). (Gridlines on each graph are spaced one unit apart.) -Find (f - g)(-1).

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Evaluate the function by selecting three inputs that will result in integer values. Then graph the line. Evaluate the function by selecting three inputs that will result in integer values. Then graph the line.

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

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Use the following to answer questions : Use the following to answer questions :   and   -Evaluate (p∙q)(1). and Use the following to answer questions :   and   -Evaluate (p∙q)(1). -Evaluate (p∙q)(1).

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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: (3, 4) and (7, 11) L2: (9, -9) and (5, -16)

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Determine the value of f(18) if f(x) = -Determine the value of f(18) if f(x) = -  x + 1. x + 1.

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Determine whether the function is odd using x = k. f(x) = -9x3 + 2x

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Find the equation of a circle with center (0, 2) and radius Find the equation of a circle with center (0, 2) and radius   . Then sketch its graph. . Then sketch its graph.

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

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Determine whether the function is even using x = k. f(x) = 5|x| + 7x - 5

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Use the following to answer questions : f(x) = 2x2 + 4x + 5 and g(x) = 5x2 - 3x -Find h(x) = f(x) - g(x).

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Use the following to answer questions : f(x) = 5x + 8 and g(x) = x - 6 -Determine the domain of the difference of f and g.

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Use the following to answer questions : Due to a lightening strike, a forest fire begins to burn and is spreading outward in a shape that is roughly circular. The radius of the circle is modeled by the function r(t) = 3t, where t is the time in minutes and r is measured in meters. -Write a function for the area burned by the fire directly as a function of t by computing (A ◦ r)(t).

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Use the following to answer questions : Use the following to answer questions :     (Gridlines are spaced one unit apart.) -Determine the location of any max or min value(s). Use the following to answer questions :     (Gridlines are spaced one unit apart.) -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).

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Use the following to answer questions : Use the following to answer questions :   -State the domain of the function. -State the domain of the function.

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Use the graph given to solve the inequality indicated. Write the answer in interval notation. p(x) > 0 Use the graph given to solve the inequality indicated. Write the answer in interval notation. p(x) > 0   (Gridlines are spaced one unit apart.) (Gridlines are spaced one unit apart.)

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