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# Absolute maximum/minimum values from graphs U se the

ISBN: 9780321570567 2

## Solution for problem 12E Chapter 4.1

Calculus: Early Transcendentals | 1st Edition

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Problem 12E

Absolute maximum/minimum values from graphs ?U ? se the ?following graphs to identify th?e poin? (? f any? n the?inter? al [?a. b] ?at which the function has cm absolute maximum value or an absolute minimum value.

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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 with domainD and let c be a fixed constant 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 Absolute extreme values _an examples; ). The domain of f(x) is all real numbers and the range is all non-negative real numbers. The graph in the figure below suggests that the function has no absolute maximum value and has an absolute minimum of 0, which occurs at x = 0. Step_3 The Absolute extreme values on a restricted domain ; 2 If the domain of f(x ) = x is restricted to [-2, 3], the corresponding range is [0, 9]. As shown below, the graph on the interval [-2, 3] sug gests that f has an absolute maximum of 9 at x = 3 and an absolute...

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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 12E 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. This full solution covers the following key subjects: absolute, maximum, minimum, Graphs, inter. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Since the solution to 12E from 4.1 chapter was answered, more than 311 students have viewed the full step-by-step answer. The answer to “Absolute maximum/minimum values from graphs ?U ? se the ?following graphs to identify th?e poin? (? f any? n the?inter? al [?a. b] ?at which the function has cm absolute maximum value or an absolute minimum value.” is broken down into a number of easy to follow steps, and 37 words.

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