# FinalF09 - Math 105 Final Exam Name Instructor Section 1 Do...

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Math 105 / Final (December 17, 2009) page 2 1 . [12 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] The graph of every power function is concave up. True False b . [2 points] If g ( t ) is a periodic function, then the graph of g ( t ) has no vertical asymptotes. True False c . [2 points] The graph of f - 1 ( x ) is obtained by reﬂecting the graph of f ( x ) across the x -axis. True False d . [2 points] The function f ( x ) = π x is a power function. True False e . [2 points] When a graph of a polynomial function f ( x ) intersects the x -axis exactly 4 times, that means that f ( x ) has degree 4. True False f . [2 points] When a is negative, lim x →∞ x a = -∞ . True False
Math 105 / Final (December 17, 2009) page 3 2 . [9 points] This past Thanksgiving, Emily decided to bake a pumpkin and sweet potato pie. In the recipe she used, the only two ingredients in the pie ﬁlling were pumpkin and sweet potato. The recipe required 12.5 ounces of pumpkin, but did not explicitly specify the amount of sweet potatoes to add. Let C = f ( x ) be the ratio of the volume of sweet potatoes to the total volume of ﬁlling when x ounces of sweet potatoes are used. Note that C = f ( x ) gives the concentration of sweet potatoes in the pie ﬁlling. a

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FinalF09 - Math 105 Final Exam Name Instructor Section 1 Do...

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