# Explain how a function can have an absolute minimum value

## Problem 10E Chapter 4.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition

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Problem 10E

Explain how a function can have an absolute minimum value at an endpoint of an 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 1 1 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 Explain how a function can have an absolute minimum value at an endpoint of an 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 smallest value in...

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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 10E from 4.1 chapter was answered, more than 286 students have viewed the full step-by-step answer. This full solution covers the following key subjects: absolute, endpoint, explain, function, interval. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Explain how a function can have an absolute minimum value at an endpoint of an interval.” is broken down into a number of easy to follow steps, and 16 words. The full step-by-step solution to problem: 10E from chapter: 4.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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