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Given the functions f (x) = 3x + 6 and g(x) = -6x + 8, find (f + g) (x) .


A) -3x + 14
B) -3x + 2
C) 9x + 14
D) -18x + 48

E) All of the above
F) C) and D)

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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 = 3 to x = 7. Round the answer to 3 decimal places if necessary. over the range x = 3 to x = 7. Round the answer to 3 decimal places if necessary.

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Determine if the function h(x) = 7|x| + 17 is even, odd, or neither even nor odd.


A) even
B) odd
C) neither even nor odd

D) None of the above
E) A) and B)

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Determine if the function h(x) = 7|x + 10| is even, odd, or neither even nor odd.


A) even
B) odd
C) neither even nor odd

D) B) and C)
E) A) and C)

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Determine if the function in the graph is even, odd, or neither: Determine if the function in the graph is even, odd, or neither: A) neither even nor odd B) odd C) even


A) neither even nor odd
B) odd
C) even

D) B) and C)
E) A) and B)

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A projectile is fired straight up from an initial height of 230 feet, and its height is a function of time, h(t) = -16 A projectile is fired straight up from an initial height of 230 feet, and its height is a function of time, h(t) = -16 + 128t + 230 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 4 seconds after launch? + 128t + 230 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 4 seconds after launch?

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Transform the function f (x) = 8 Transform the function f (x) = 8 - 96x + 297 to the form f (x) = c + k, where c, h, and k are constants, by completing the square. - 96x + 297 to the form f (x) = c Transform the function f (x) = 8 - 96x + 297 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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Classify the following relationship as a function or not a function.{(15, 10) , (-10, -20) , (-20, -16) , (-14, 1) , (-12, -14) }


A) a function
B) not a function
C) don't know

D) A) and C)
E) A) and B)

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The graph of y = The graph of y = is shifted up 8 and to the left 13. Write the resulting function. A) B) C) D) is shifted up 8 and to the left 13. Write the resulting function.


A) The graph of y = is shifted up 8 and to the left 13. Write the resulting function. A) B) C) D)
B) The graph of y = is shifted up 8 and to the left 13. Write the resulting function. A) B) C) D)
C) The graph of y = is shifted up 8 and to the left 13. Write the resulting function. A) B) C) D)
D) The graph of y = is shifted up 8 and to the left 13. Write the resulting function. A) B) C) D)

E) A) and C)
F) None of the above

Correct Answer

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In physics, the inverse square law states that any physical quantity or strength is inversely proportional to the square of the distance from the source of that physical quantity. In particular, the intensity of light radiating from a point source is inversely proportional to the square of the distance from the source. Below is a table of average distances from the Sun: In physics, the inverse square law states that any physical quantity or strength is inversely proportional to the square of the distance from the source of that physical quantity. In particular, the intensity of light radiating from a point source is inversely proportional to the square of the distance from the source. Below is a table of average distances from the Sun: The solar radiation on the Earth is approximately 1560 watts per square meter. How much solar radiation is there on Mercury? Round to the nearest hundred watts per square meter. A) 605,172,413.79 watts per square meter B) 4034.48 watts per square meter C) 10,434.01 watts per square meter D) 0.07 watts per square meter The solar radiation on the Earth is approximately 1560 watts per square meter. How much solar radiation is there on Mercury? Round to the nearest hundred watts per square meter.


A) 605,172,413.79 watts per square meter
B) 4034.48 watts per square meter
C) 10,434.01 watts per square meter
D) 0.07 watts per square meter

E) All of the above
F) A) and B)

Correct Answer

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The function f (x) = The function f (x) = , x > -8 is a one-to-one function. Find its inverse. A) y = B) y = -8 C) y = - D) y = , x > -8 is a one-to-one function. Find its inverse.


A) y = The function f (x) = , x > -8 is a one-to-one function. Find its inverse. A) y = B) y = -8 C) y = - D) y =
B) y = -8
C) y = - The function f (x) = , x > -8 is a one-to-one function. Find its inverse. A) y = B) y = -8 C) y = - D) y =
D) y = The function f (x) = , x > -8 is a one-to-one function. Find its inverse. A) y = B) y = -8 C) y = - D) y =

E) A) and B)
F) A) and C)

Correct Answer

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Given the function G(t) = Given the function G(t) = , state the domain in interval notation. A) [10, ?) B) (-?, 10) ? (10, ?) C) (-?, ?) D) (-?, -10) ? (10, ?) , state the domain in interval notation.


A) [10, ?)
B) (-?, 10) ? (10, ?)
C) (-?, ?)
D) (-?, -10) ? (10, ?)

E) All of the above
F) B) and C)

Correct Answer

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Given the function h(t) = Given the function h(t) = , state the domain in interval notation. A) (-?, 8] B) (8, ?) C) (-?, ?) D) (-?, 8) , state the domain in interval notation.


A) (-?, 8]
B) (8, ?)
C) (-?, ?)
D) (-?, 8)

E) B) and D)
F) A) and D)

Correct Answer

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Write an equation that describes the variation. s varies inversely with both x and the square root of q. s = 47 when x = 18 and q = 1.

Correct Answer

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Write an equation that describes the variation. Use k as the constant of variation. f varies inversely with both Write an equation that describes the variation. Use k as the constant of variation. f varies inversely with both and . and Write an equation that describes the variation. Use k as the constant of variation. f varies inversely with both and . .

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Write an equation that describes the variation. Use k as the constant of variation. F is inversely proportional to Write an equation that describes the variation. Use k as the constant of variation. F is inversely proportional to . A) B) C) D) .


A) Write an equation that describes the variation. Use k as the constant of variation. F is inversely proportional to . A) B) C) D)
B) Write an equation that describes the variation. Use k as the constant of variation. F is inversely proportional to . A) B) C) D)
C) Write an equation that describes the variation. Use k as the constant of variation. F is inversely proportional to . A) B) C) D)
D) Write an equation that describes the variation. Use k as the constant of variation. F is inversely proportional to . A) B) C) D)

E) B) and C)
F) All of the above

Correct Answer

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Determine if the relationship f = {(18, 12) , (2, 1) , (-8, 1) , (-20, -3) } is a one-to-one function.


A) not a function
B) a one-to-one function
C) a function, but not one-to-one

D) B) and C)
E) A) and C)

Correct Answer

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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. f (x + 2) - 2 f (x + 2) - 2

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Transform the function f (x) = -2 Transform the function f (x) = -2 - 12x - 18 to the form f (x) = c + k, where c, h, and k are constants, by completing the square. - 12x - 18 to the form f (x) = c Transform the function f (x) = -2 - 12x - 18 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.

Correct Answer

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Determine if the relationship x = Determine if the relationship x = + 20 is a function. If it is a function, determine if it is a one-to-one function. A) not a function B) a one-to-one function C) a function, but not one-to-one + 20 is a function. If it is a function, determine if it is a one-to-one function.


A) not a function
B) a one-to-one function
C) a function, but not one-to-one

D) A) and B)
E) None of the above

Correct Answer

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