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# How do you determine the absolute maximum and minimum ISBN: 9780321570567 2

## Solution for problem 9E Chapter 4.1

Calculus: Early Transcendentals | 1st Edition

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Problem 9E

How do you determine the absolute maximum and minimum values of a continuous function on a closed interval?

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STEP_BY_STEP SOLUTION Step-1 Let f be a continuous function defined on an open interval containing a number ‘c’.The number ‘c’ is critical value ( or critical number ). If f (c) = 0 or f (c) is undefined. A critical point on that graph of f has the form (c,f(c)). Step_2 Now , we have to determine the absolute maximum and minimum values of a continuous function on a closed interval. That is ; 1. Verify that the function is continuous on the interval [a, b]. 2. Find all critical points of f(x) that are in the interval (a,b). 3. Add the endpoints a and b of the interval [a,b] to the list of points found in step-2. 4. Compute the value of f at each of the points in this list. 5. The largest value in step 4 is the absolute maximum value of f on [a, b] and the smallest value is the...

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##### ISBN: 9780321570567

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How do you determine the absolute maximum and minimum

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