Exam 1: Functions and Their Graphs

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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.   y = f(x - 3) - 3 y = f(x - 3) - 3

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Determine if the function h(t) = -10t8 - 7 is even, odd, or neither even nor odd.

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Given the functions f(x) = Given the functions f(x) =    and g(x) = 10 - x, find     . and g(x) = 10 - x, find Given the functions f(x) =    and g(x) = 10 - x, find     . .

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Given the function H(x) = 1 - x2, evaluate H(x - 6).

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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.    y = f(x + 1) - 1 y = f(x + 1) - 1

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Given the graph of a one-to-one function: plot its inverse. Given the graph of a one-to-one function: plot its inverse.

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The graph of y = |x| shifted up 11 and to the left 1. Write the resulting function.

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Determine if the equation 8x2 + 18y2 = 17 is a function of x

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A drug store pays you $9 per hour for the first 40 hours per week and time and a half for overtime. Write a piece-wise-defined function that represents your weekly earnings E(x) as a function of the number of hours worked, x. Find the inverse function A drug store pays you $9 per hour for the first 40 hours per week and time and a half for overtime. Write a piece-wise-defined function that represents your weekly earnings E(x) as a function of the number of hours worked, x. Find the inverse function      . What does the inverse function tell you? . What does the inverse function tell you?

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Determine if the equation 5x2 + 2y2 = 4 is a function.

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

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Graph the function using transformation. Graph the function using transformation.

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Given the functions f(x) = x2 - 9 and g(x) = x - 3, find Given the functions f(x) = x<sup>2 </sup>- 9 and g(x) = x - 3, find

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Find the average rate of change of the function from x = 1 to x = 6. Find the average rate of change of the function from x = 1 to x = 6.

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Determine if the relationship y = 5x11 is a function. If it is a function, determine if it is one-to-one function.

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The function The function      ,     is a one-to-one function. Find its inverse. , The function      ,     is a one-to-one function. Find its inverse. is a one-to-one function. Find its inverse.

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Given the functions f(x) = 2x + 2 and g(x) = -9x + 6, find (f + g)(x).

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A projectile is fired straight up from an initial height of 150 feet, and its height is a function of time, h(t) = -16t2 + 128t + 150 where h is the height in feet and t is the time in second with t = 0 corresponding to the instant it launches. What is the height 3 seconds after launch?

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Given the functions Given the functions    And , find (f + g)(x) AndGiven the functions    And , find (f + g)(x), find (f + g)(x)

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Match the graph of the piece-wise function. Match the graph of the piece-wise function.

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