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# Quiz-4 - the following theorem “The average rate of...

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MAC1147: Quiz #4 09/22/2009 In the top-right corner of a clean sheet of paper, write your name, UFID, and section number. Please use a pen with blue or black ink. When you are finished, FOLD your paper in half lengthwise and write your name on the back. 1. In the following questions, x 1 , x 2 , and c are real numbers. (a) State the definition of the average rate of change of f ( x ) from x 1 to x 2 . (b) Find the average rate of change of f ( x ) + c from x 1 to x 2 . (c) Use your answers to parts (a) and (b) to complete the statement of
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Unformatted text preview: the following theorem: “The average rate of change of a function (in-creases/decreases/stays the same) when a (horizontal/vertical) trans-lation is applied to it.” 2. Let f ( x ) = | x | . (a) Sketch a graph of f ( x ) . Label any intercepts. (b) Sketch a graph of f ( x )-1 . Label any intercepts. (c) Sketch a graph of f ( x-1) . Label any intercepts. 1...
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