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"hich of the following statements is true of f(x)= -x³-6x²-9x-2? A. fis increasing on (-3,-1) B. fis increasing on (-00,-3)(-1,00) C. fis increasing on (-0,5) D. fis increasing on (-2,00) E. fis never increasing.

"hich of the following statements is true of f(x)= -x³-6x²-9x-2? A. fis increasing on (-3,-1) B. fis increasing on (-00,-3)(-1,00) C. fis increasing on (-0,5) D. fis increasing on (-2,00) E. fis never increasing.

Calculus: Early Transcendentals
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...
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**Question:** Which of the following statements is true of \( f(x) = -x^3 - 6x^2 - 9x - 2 \)? **Options:** A. \( f \) is increasing on \((-3, -1)\). B. \( f \) is increasing on \((-\infty, -3) \cup (-1, \infty)\). C. \( f \) is increasing on \((-\infty, 5)\). D. \( f \) is increasing on \((-2, \infty)\). E. \( f \) is never increasing. **Explanation:** Select the option that correctly identifies the interval(s) where the function \( f(x) = -x^3 - 6x^2 - 9x - 2 \) is increasing. To determine this, you may need to find the derivative of the function and analyze its sign over the real numbers.
Transcribed Image Text:**Question:** Which of the following statements is true of \( f(x) = -x^3 - 6x^2 - 9x - 2 \)? **Options:** A. \( f \) is increasing on \((-3, -1)\). B. \( f \) is increasing on \((-\infty, -3) \cup (-1, \infty)\). C. \( f \) is increasing on \((-\infty, 5)\). D. \( f \) is increasing on \((-2, \infty)\). E. \( f \) is never increasing. **Explanation:** Select the option that correctly identifies the interval(s) where the function \( f(x) = -x^3 - 6x^2 - 9x - 2 \) is increasing. To determine this, you may need to find the derivative of the function and analyze its sign over the real numbers.
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