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# Sketch the graph of a function that is continuous on an

ISBN: 9780321570567 2

## Solution for problem 4E Chapter 2.6

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 4E

Sketch the graph of a function that is continuous on an open interval (a ? , b?)but has neither an absolute maximum nor an absolute minimum value on (a? ,?? .)

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STEP_BY_STEP SOLUTION Step_1 When an output value of a function is a maximum or a minimum over the entire domain of the function, the value is called the absolute maximum or the absolute minimum. Let f be a function w ith domain D and let c be a fixedconstant in D . Then the output value f( ) is the 1. Absolute maximum value of f on D if and only if f(x) f(c) , for all x in D. 2. Absolute minimum value of f on D if and only if f(c) f(x) , for all x in D. Step_2 In the above graph the...

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