Exam 3: Functions and Their Graphs

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The graph of y = The graph of y =   shifted up 1 and to the left 20. Write the resulting function. shifted up 1 and to the left 20. Write the resulting function.

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Given the functions f (x) = -7 Given the functions f (x) = -7   + 8x - 7, and g(x) = 12 - 4x, find   and   . + 8x - 7, and g(x) = 12 - 4x, find Given the functions f (x) = -7   + 8x - 7, and g(x) = 12 - 4x, find   and   . and Given the functions f (x) = -7   + 8x - 7, and g(x) = 12 - 4x, find   and   . .

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Write an equation that describes the variation. A is directly proportional to the cube of L. A = 2 when L = 1.

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Write the function resulting from shifting f (x) = 2 Write the function resulting from shifting f (x) = 2   + 9 to the left 7 and up 8. + 9 to the left 7 and up 8.

(Multiple Choice)
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Write an equation that describes the variation. Use k as the constant of variation. V varies directly with the cube of z.

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Determine if the function f (t) = 4|t| + Determine if the function f (t) = 4|t| +   is even, odd, or neither even nor odd. is even, odd, or neither even nor odd.

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Find the average rate of change for the function f (x) = Find the average rate of change for the function f (x) =    over the range x = -2 to x = 1. Round the answer to 3 decimal places if necessary. over the range x = -2 to x = 1. Round the answer to 3 decimal places if necessary.

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Determine if the relationship y = Determine if the relationship y =   is a function. If it is a function, determine if it is a one-to-one function. is a function. If it is a function, determine if it is a one-to-one function.

(Multiple Choice)
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Transform the function f (x) = 7 Transform the function f (x) = 7   + 14x + 0 to the form f (x) = c   + k, where c, h, and k are constants, by completing the square. + 14x + 0 to the form f (x) = c Transform the function f (x) = 7   + 14x + 0 to the form f (x) = c   + k, where c, h, and k are constants, by completing the square. + k, where c, h, and k are constants, by completing the square.

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The function y = 9 - 2x is a one-to-one function. Find its inverse.

(Multiple Choice)
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Write an equation that describes the variation. F is inversely proportional to the square of t. f = 8 when t = 1.

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Determine if the function h(x) = 7 Determine if the function h(x) = 7   + 6 is even, odd, or neither even nor odd. + 6 is even, odd, or neither even nor odd.

(Multiple Choice)
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Given the function H(x) = 1 - Given the function H(x) = 1 -   , evaluate H(x - 5). , evaluate H(x - 5).

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The function f (x) = The function f (x) =   x > 7, is a one-to-one function. Find its inverse. x > 7, is a one-to-one function. Find its inverse.

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A force of 102 N will stretch the spring 17 cm. How far will a force of 120 N stretch the spring?

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Classify the following relationship as a function or not a function.{(9, -18), (9, -2), (9, 15), (9, -3)}

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Use the given graph to evaluate the functions. y = r(x) Use the given graph to evaluate the functions. y = r(x)     a. r(-4)   b. r(-3) a. r(-4) b. r(-3)

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For the given graph of a function f (x) draw the indicated function. For the given graph of a function f (x) draw the indicated function.       For the given graph of a function f (x) draw the indicated function.

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Determine if the equation 11x2 + 18 Determine if the equation 11x<sup>2</sup> + 18   = 10 is a function of x. = 10 is a function of x.

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For the given graph of a function f (x) draw the indicated function. For the given graph of a function f (x) draw the indicated function.       For the given graph of a function f (x) draw the indicated function.

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