UFCalcSet22

# UFCalcSet22 - Exercises UF Calculus Set 22 1. In the graph...

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Exercises UF Calculus Set 22 1. In the graph of f ( x ) below, identify the critical numbers, and then identify the local and absolute extrema. Word your responses to the latter by following this model: ”There is a local maximum of 24 when x is 7.” 2. In parts (a)-(c), sketch a function f with the given properties. (a) f is continuous and bounded, but has no absolute extrema. (b) f is bounded on the real line, has two local maxima, but no absolute nor local minimum. (c) f is continuous, bounded, and odd; and f has a local maximum that is smaller in value than another local minumum that it attains 3. Sketch the function on the interval provided. Determine all local and absolute extrema, if they exist. (a) f ( x ) = e - x on [ 0 , ) (b) f ( x ) = e - x on [ 0 ,a ] , a > 0 (c) f ( x ) = x 2 on [ - 2 , 2 ] (d) f ( x ) = -| x | on [ - 1 , 2 ) (e) function f ( x ) below on ( - 1 , 1 ] (f) function g ( x ) below on [ - 3 , 3 ] f ( x ) = 1 + - x x < 0 sec( x ) x 0 g ( x ) = -

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## This note was uploaded on 05/17/2011 for the course MAC 2311 taught by Professor All during the Spring '08 term at University of Florida.

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UFCalcSet22 - Exercises UF Calculus Set 22 1. In the graph...

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