20 Figure 1: Graph of y = f'(x) for Question 5 The graph of the derivative of a function y = f'(x) is shown in Figure 1 above. Based on this graph, which of the following statements is true? 5. (a) The smallest critical number of f(r) occurs at z = -3 where f(x) obtains a relative maximum. (b) The output f(0) is neither a relative maximum nor a relative minimum. (c) The largest critical number of f(x) occurs at r = 5 where f(r) obtains a relative maximum. (d) f(x) has a relative maximum at both its smallest and largest critical numbers. (e) f(r) has a relative minimum at both its smallest and largest critical numbers.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question

can you please explain how i can find this thoroughly?

20
Figure 1: Graph of y = f'(x) for Question 5
The graph of the derivative of a function y = f'(x) is shown in Figure 1 above. Based on this graph, which of
the following statements is true?
5.
(a) The smallest critical number of f(r) occurs at z = -3 where f(x) obtains a relative maximum.
(b) The output f(0) is neither a relative maximum nor a relative minimum.
(c) The largest critical number of f(x) occurs at r = 5 where f(r) obtains a relative maximum.
(d) f(x) has a relative maximum at both its smallest and largest critical numbers.
(e) f(x) has a relative minimum at both its smallest and largest critical numbers.
Transcribed Image Text:20 Figure 1: Graph of y = f'(x) for Question 5 The graph of the derivative of a function y = f'(x) is shown in Figure 1 above. Based on this graph, which of the following statements is true? 5. (a) The smallest critical number of f(r) occurs at z = -3 where f(x) obtains a relative maximum. (b) The output f(0) is neither a relative maximum nor a relative minimum. (c) The largest critical number of f(x) occurs at r = 5 where f(r) obtains a relative maximum. (d) f(x) has a relative maximum at both its smallest and largest critical numbers. (e) f(x) has a relative minimum at both its smallest and largest critical numbers.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning