Homework Help is Here – Start Your Trial Now!
Math
Algebra
Determine the end behavior of the graph of the function. 1 f(x) = -=-=-x6-7x²-x²³ +7 As x-00, f(x) → and as x→∞, f(x) → 0 ∞ X -8

Determine the end behavior of the graph of the function. 1 f(x) = -=-=-x6-7x²-x²³ +7 As x-00, f(x) → and as x→∞, f(x) → 0 ∞ X -8

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question
**Determine the End Behavior of the Function's Graph** Consider the function: \[ f(x) = -\frac{1}{2}x^6 - 7x^4 - x^3 + 7 \] 1. **Analysis of End Behavior:** - As \( x \rightarrow -\infty \), \( f(x) \rightarrow \) \(\_\_\_\_\). - As \( x \rightarrow \infty \), \( f(x) \rightarrow \) \(\_\_\_\_\). 2. **Options for Filling the Blanks:** - \( \infty \) - \( -\infty \) Select the appropriate behavior as \( x \) approaches negative and positive infinity. Note: The highest degree term, \(-\frac{1}{2}x^6\), determines the end behavior of the polynomial.
Transcribed Image Text:**Determine the End Behavior of the Function's Graph** Consider the function: \[ f(x) = -\frac{1}{2}x^6 - 7x^4 - x^3 + 7 \] 1. **Analysis of End Behavior:** - As \( x \rightarrow -\infty \), \( f(x) \rightarrow \) \(\_\_\_\_\). - As \( x \rightarrow \infty \), \( f(x) \rightarrow \) \(\_\_\_\_\). 2. **Options for Filling the Blanks:** - \( \infty \) - \( -\infty \) Select the appropriate behavior as \( x \) approaches negative and positive infinity. Note: The highest degree term, \(-\frac{1}{2}x^6\), determines the end behavior of the polynomial.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS