Given the graph of f (x) below, what is the open interval(s) ov which f'(x) is positive? 3 N -8 -7 -6 -4 -3 -2 -1 0 -1- -10 -9 O (-5, ∞) O (-5, 3) O (-∞, -5) O (-∞, -5) U (3, ∞) -2 4

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
Given the graph of \( f(x) \) below, what is the open interval(s) over which \( f'(x) \) is positive?

![Graph Description]

The graph is a curve that starts from the far left below the x-axis, rises up to a peak near the point (-5, 6), descends to a trough near (3, -3), and then rises again as it moves to the right.

### Options:

- \( (-5, \infty) \)
- \( (-5, 3) \)
- \( (-\infty, -5) \)
- \( (-\infty, -5) \cup (3, \infty) \)
Transcribed Image Text:Given the graph of \( f(x) \) below, what is the open interval(s) over which \( f'(x) \) is positive? ![Graph Description] The graph is a curve that starts from the far left below the x-axis, rises up to a peak near the point (-5, 6), descends to a trough near (3, -3), and then rises again as it moves to the right. ### Options: - \( (-5, \infty) \) - \( (-5, 3) \) - \( (-\infty, -5) \) - \( (-\infty, -5) \cup (3, \infty) \)
Expert Solution
steps

Step by step

Solved in 3 steps with 6 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