Consider the following polynomial. q(x) = 7x² – 8x Step 2 of 2: Describe the behavior of the graph of q(x) as x → ±∞.
Consider the following polynomial. q(x) = 7x² – 8x Step 2 of 2: Describe the behavior of the graph of q(x) as x → ±∞.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
Related questions
Question
![**Consider the following polynomial.**
\[ q(x) = 7x^2 - 8x \]
**Step 2 of 2**: Describe the behavior of the graph of \( q(x) \) as \( x \to \pm \infty \).
**Answer**
\[ q(x) \to \square \quad \text{as} \quad x \to -\infty \]
\[ q(x) \to \square \quad \text{as} \quad x \to \infty \]
**Explanation:**
- The task involves analyzing the end behavior of the polynomial function \( q(x) = 7x^2 - 8x \).
- As \( x \to \pm \infty \), the highest degree term \( 7x^2 \) will dominate the behavior.
- For \( x \to -\infty \) and \( x \to \infty \), the values of \( q(x) \) are primarily influenced by \( 7x^2 \), which is positive, resulting in \( q(x) \to \infty \) in both directions.
**Graph/Diagram Description:**
There are two boxes, each associated with one of these scenarios. The solutions should describe that:
- As \( x \to -\infty \), the graph of \( q(x) \) approaches positive infinity.
- As \( x \to \infty \), \( q(x) \) similarly approaches positive infinity.
The user is expected to fill these boxes with the correct behavior based on the analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F16052cc5-c198-4ee9-99e3-f066a26fe3e2%2F320b1d14-f7eb-49b0-898e-a560fab06640%2Fdsx2hr.jpeg&w=3840&q=75)
Transcribed Image Text:**Consider the following polynomial.**
\[ q(x) = 7x^2 - 8x \]
**Step 2 of 2**: Describe the behavior of the graph of \( q(x) \) as \( x \to \pm \infty \).
**Answer**
\[ q(x) \to \square \quad \text{as} \quad x \to -\infty \]
\[ q(x) \to \square \quad \text{as} \quad x \to \infty \]
**Explanation:**
- The task involves analyzing the end behavior of the polynomial function \( q(x) = 7x^2 - 8x \).
- As \( x \to \pm \infty \), the highest degree term \( 7x^2 \) will dominate the behavior.
- For \( x \to -\infty \) and \( x \to \infty \), the values of \( q(x) \) are primarily influenced by \( 7x^2 \), which is positive, resulting in \( q(x) \to \infty \) in both directions.
**Graph/Diagram Description:**
There are two boxes, each associated with one of these scenarios. The solutions should describe that:
- As \( x \to -\infty \), the graph of \( q(x) \) approaches positive infinity.
- As \( x \to \infty \), \( q(x) \) similarly approaches positive infinity.
The user is expected to fill these boxes with the correct behavior based on the analysis.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (11th Edition)
Trigonometry
ISBN:
9780134217437
Author:
Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:
PEARSON
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781305652224
Author:
Charles P. McKeague, Mark D. Turner
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning