review4 - MAC1140, Precalculus Algebra, Summer B 2007...

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MAC1140, Precalculus Algebra, Summer B 2007 Review Problems for Exam 4 1. Find the average rate of change of f ( x ) = x 3 - x over the interval [ - 3 , 1]. 2. For the function f ( x ) = 3 - | x + 3 | if x ≤ - 1 1 if - 1 < x 1 | x - 3 | - 1 if 1 < x . find all the (open) intervals where the function is decreasing, increasing and constant. Also find any local maximum and minimum. 3. Sketch all intermediate steps that are needed to graph the function (translating, flipping, stretching) starting from the basic function. a) f ( x ) = 2( x + 2) 2 + 1 b) f ( x ) = 1 - 1 2 | x | c) f ( x ) = 2 + - x 4. Sketch a graph of the following functions (find vertex and all inter- cepts): a) f ( x ) = 2( x +1) 2 - 3 b) f ( x ) = - 2 x 2 +8 x - 8 c) f ( x ) = x 2 - x - 6 5. What are the ranges of the following functions: a) f ( x ) = ( x - 2) 2 + 1 b) f ( x ) = - 2 x 2 + 8 x c) f ( x ) = 5 - 3 x + 2 6. A ball is thrown upward with initial velocity 80 feet per second and from a tower of height 96 feet. a) Find an expression for the height
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This note was uploaded on 06/09/2011 for the course MAC 1140 taught by Professor Williamson during the Summer '08 term at University of Florida.

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review4 - MAC1140, Precalculus Algebra, Summer B 2007...

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