×
Log in to StudySoup

Forgot password? Reset password here

Sketch the graph of a function that has an absolute

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

Solution for problem 5E Chapter 4.1

Calculus: Early Transcendentals | 1st Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

4 5 0 279 Reviews
26
1
Problem 5E

Sketch the graph of a function that has an absolute maximum, a local minimum, but no absolute minimum on [0, 3].

Step-by-Step Solution:
Step 1 of 3

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 domain D and let c be a fixed c onstant 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. Example ; The Absolute extreme values on a restricted domain ; If th 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] suggests that f has an absolute maximum of 9 at x = 3 and an absolu te minimum of 0 at x = 0. Step-2 be defined on the interval [a,b] , and x be the 0nterior point on [a,b]. A function f has a local maximum or relative maximum at a point x if the values 0 f(x) of f for x ‘near’ x are all less than f(x ). 0 0 That is , f(x) f(x )L0t f Thus, the graph of f near x has a 0 eak at x .0 A function f has a local minimum or relative minimum at a point x if the values 0 f(x) of f for x ‘near’ x a 0 re all greater than f(x 0 . That is f(x) f(x ). 0 Thus, the graph of f near x has a0trough at x . (To make0the distinction clear,...

Step 2 of 3

Chapter 4.1, Problem 5E is Solved
Step 3 of 3

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

The answer to “Sketch the graph of a function that has an absolute maximum, a local minimum, but no absolute minimum on [0, 3].” is broken down into a number of easy to follow steps, and 21 words. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. This full solution covers the following key subjects: absolute, minimum, local, graph, maximum. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 5E from 4.1 chapter was answered, more than 284 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 5E from chapter: 4.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM.

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Sketch the graph of a function that has an absolute

×
Log in to StudySoup
Get Full Access to Calculus - Textbook Survival Guide

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Calculus - Textbook Survival Guide
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here