# Exam2F10 - Math 105 Second Midterm Name Instructor Section...

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Math 105 / Exam 2 (November 15, 2010) page 2 1 . [6 points] x y The graph of f ( x ) The graph of f ( x ) is shown in the Fgure above. In each of the Fgures below, the graph shown represents a transformation of f ( x ). Note that the scale of the axes is the same in each of the graphs below as it is in the graph of f ( x ) above. ±or each Fgure, circle the one formula which best represents the given transformation. Jus- tiFcation is not expected for these problems. x y x y x y i. f ( x + 2) - 2 ii. f ( x - 1) - 1 iii. 2 f ( x - 1) i. 0 . 5 f ( x ) - 4 ii. f ( - 2 x ) - 2 iii. - 0 . 5 f ( x ) i. f ( - 0 . 5 x ) + 2 ii. f ( - 2 x ) + 1 iii. - f ( - x ) + 4
page 3 2 . [14 points] Note that calculator approximations will not receive credit when an exact answer is required. a . [5 points] Solve for t exactly in the equation 3 e t =5 t . (Show your work step-by-step.) Answer: t = b . [4 points] Suppose f is an even function and f (2) = - 3. Find the coordinates of two points that must lie on the graph of 2 f ( x - 1). Answers: and c . [5 points] Solve for t exactly in the equation log( t 3 ) + log( t 4 ) log(1000 t ) =6 . (Show your work step-by-step.)

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Exam2F10 - Math 105 Second Midterm Name Instructor Section...

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