Exam 3: Functions and Their Graphs

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Given the functions Given the functions   , find  , find Given the functions   , find

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Given the function G(x) = -7 - 6x, evaluate G(4).

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Write an equation that describes the variation. s varies directly with the cube of T. s = 84,375 when T = 15.

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Classify the following relationship as a function or not a function.{(-17, 20), (17, 20), (-12, 20), (1, 20)}

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Use the vertical line test to determine if the graph below defines a function. Use the vertical line test to determine if the graph below defines a function.

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Classify the following relationship as a function or not a function. Classify the following relationship as a function or not a function.

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Find the difference quotient Find the difference quotient   for the function. f (x) = -9   + 15x - 11 for the function. f (x) = -9 Find the difference quotient   for the function. f (x) = -9   + 15x - 11 + 15x - 11

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Given the function f (x) = 5x - 4, evaluate f (x + 10).

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Write an equation that describes the variation. P varies directly with the square root of x and inversely with the cube of u. Write an equation that describes the variation. P varies directly with the square root of x and inversely with the cube of u.   when   and  when Write an equation that describes the variation. P varies directly with the square root of x and inversely with the cube of u.   when   and  and Write an equation that describes the variation. P varies directly with the square root of x and inversely with the cube of u.   when   and

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Given the function f (x) = Given the function f (x) =   - 5x - 15, evaluate   . - 5x - 15, evaluate Given the function f (x) =   - 5x - 15, evaluate   . .

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Given the function f (x) = -7 - 5x, evaluate Given the function f (x) = -7 - 5x, evaluate   . .

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

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Levi's makes jeans in a variety of price ranges for juniors. The Silver Tab Baggy jeans sell for about $37, whereas the Offender jeans sell for $150. The demand for Levi's jeans is inversely proportional to the price. If 235,000 pairs of the Silver Tab Baggy jeans were bought, approximately how many of the Offender were bought? Round to the nearest integer.

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Given the functions f (x) = x + 3 and g(x) = 6x - 9, find (f · g)(x).

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Determine whether the function is a one-to-one function. Determine whether the function is a one-to-one function.

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Determine if the function f (x) = Determine if the function f (x) =   - 10 is even, odd, or neither even nor odd. - 10 is even, odd, or neither even nor odd.

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

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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 1,250 watts per square meter. How much solar radiation is there on Mercury? Round to the nearest hundredth watts per square meter. The solar radiation on the Earth is approximately 1,250 watts per square meter. How much solar radiation is there on Mercury? Round to the nearest hundredth watts per square meter.

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Given the function G(x) = 6 - 4x, evaluate G(4x + 2).

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The function f (x) = The function f (x) =   , x ?   is a one-to-one function. Verify that y =   is its inverse. , x ? The function f (x) =   , x ?   is a one-to-one function. Verify that y =   is its inverse. is a one-to-one function. Verify that y = The function f (x) =   , x ?   is a one-to-one function. Verify that y =   is its inverse. is its inverse.

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