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Absolute values Consider the function f(x) = |x2|+|x3| on

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 11RE Chapter 4

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 11RE

Absolute values? Consider the function f(x) = |x?2|+|x?3| on [?4, 4]. Graph f, identify the critical points, and give the coordinates of the local and absolute extreme values.

Step-by-Step Solution:

Solution Step 1 In this problem we have to find the critical points of the function f(x) = |x2|+|x3| and also we have to identify absolute maximum and absolute minimum. First let us see the definitions of critical point, absolute maximum,absolute minimum. Critical point: An interior point cof the domain of a function f at which f (c) = 0or f(c)fails to exist is called a critical point of f Absolute maximum: The highest point over the entire domain of a function or relation is the absolute maximum. Absolute minimum: The lowest point over the entire domain of a function or relation is the absolute minimum. Step 2 Let us use Ti-83 calculator to draw the graph of the given function. The steps involved in Ti-83 calculator are as follows: Step1: Press Y= and enter the above function The screenshot of this step in Ti-83 calculator is shown below Step 3 Step2: Press WINDOW button to adjust the window and set the range of the axis as [5,10]×[10,12] The screenshot of window adjustment is shown below

Step 4 of 5

Chapter 4, Problem 11RE is Solved
Step 5 of 5

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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Absolute values Consider the function f(x) = |x2|+|x3| on

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