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...
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, ∞)
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