Find the interval(s) where the function f(x) = x 3 + 3x 2 is increasing and decreasing.

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

Find the interval(s) where the function f(x) = x 3 + 3x 2 is increasing and decreasing.

(A) Increasing: (-∞, -2), (0, ∞); Decreasing: (-2,0)
(B) Increasing: (-2, 0); Decreasing: (-∞, -2), (0, ∞)
(C) Increasing: (–3,0), (0, ∞); Decreasing: (-∞, -3)
(D) Increasing: (-∞, -3); Decreasing: (-3,0), (0, ∞)
Transcribed Image Text:(A) Increasing: (-∞, -2), (0, ∞); Decreasing: (-2,0) (B) Increasing: (-2, 0); Decreasing: (-∞, -2), (0, ∞) (C) Increasing: (–3,0), (0, ∞); Decreasing: (-∞, -3) (D) Increasing: (-∞, -3); Decreasing: (-3,0), (0, ∞)
Expert Solution
steps

Step by step

Solved in 4 steps with 3 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