Determine the end behavior of the graph of the function. m (x) = – 4(x+1)(3x- 2)²(x+ 5)ª As x → - 00, m (x) → , and as x → 00, m (x) - 00 -0-

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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**Determine the End Behavior of the Graph of the Function**

Given the function:

\[ m(x) = -4(x+1)(3x-2)^2(x+5)^4 \]

Determine the end behavior.

- As \( x \to -\infty \), \( m(x) \to \_\_\_ \)
- As \( x \to \infty \), \( m(x) \to \_\_\_ \)

**Options for Filling in the Blanks:**

1. \( \infty \)
2. \( -\infty \)

Select the appropriate behavior for each direction.
Transcribed Image Text:**Determine the End Behavior of the Graph of the Function** Given the function: \[ m(x) = -4(x+1)(3x-2)^2(x+5)^4 \] Determine the end behavior. - As \( x \to -\infty \), \( m(x) \to \_\_\_ \) - As \( x \to \infty \), \( m(x) \to \_\_\_ \) **Options for Filling in the Blanks:** 1. \( \infty \) 2. \( -\infty \) Select the appropriate behavior for each direction.
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