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FinalExamF10

# FinalExamF10 - Math 105 Final Exam Name Instructor Section...

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Math 105 / Final (December 17, 2010) page 2 1 . [10 points] For each statement below, circle True if the statement is always true. Otherwise, circle False . You do not have to show any work for your answers. a . [2 points] If f is an invertible function and f (5) = 2, then f - 1 (5) = 1 2 . True False b . [2 points] If h is an invertible function, then the domain of h - 1 is the range of h . True False c . [2 points] If a radioactive substance decays 25% every year, then its half-life is two years. True False d . [2 points] The function f ( x ) = e 2 x + 1 is a linear function. True False e . [2 points] The line y = 4 is a horizontal asymptote of the function y = f ( x ) = 3 - 5 x 2 + 4 x x + 2 . True False
Math 105 / Final (December 17, 2010) page 3 2 . [10 points] a . [5 points] A portion of the graph of a power function q ( x ) is shown below. Find a formula for q ( x ). x (1 , 9) (3 , 1 3 ) y = q ( x ) y Answer: q ( x ) = b . [5 points] A portion of the graph of a polynomial function p ( x ) is shown below. Find a possible formula for p ( x ). 1 2 3 4 - 1 - 2 - 3 - 4 4 8 - 4 - 8 y = p ( x ) x y Answer: p ( x ) =

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Math 105 / Final (December 17, 2010) page 4 3 . [18 points] a . [5 points] Suppose that the amount of time (in hours) that it takes to clean up the stadium after a sold-out football game is inversely proportional to the square of the number of volunteers who are cleaning. It took 5 hours for 100 volunteers to clean up after a recent game. Let
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