Homework Help is Here – Start Your Trial Now!
Math
Algebra
Identify the end behavior of the given logarithmic function. -10 10 0 As x-∞, f(x) →∞ As x4, f(x) →→∞ As x→∞, f(x) → As x→∞o, f(x) →∞x As x→→∞, f(x) → 4 As x→∞o, f(x) → ∞ As x4, f(x) →→∞ As x → ∞, ƒ(x) →∞

Identify the end behavior of the given logarithmic function. -10 10 0 As x-∞, f(x) →∞ As x4, f(x) →→∞ As x→∞, f(x) → As x→∞o, f(x) →∞x As x→→∞, f(x) → 4 As x→∞o, f(x) → ∞ As x4, f(x) →→∞ As x → ∞, ƒ(x) →∞

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
--- **Topic: Understanding Logarithmic Functions and Their End Behavior** **Identify the end behavior of the given logarithmic function.** *Graph Analysis:* The graph presented is a logarithmic function. The x-axis and y-axis are labeled, and the grid provides a visual representation of the function's behavior as \( x \) approaches different values. The function decreases from the positive y-direction and curves sharply downwards as it approaches \( x = 0 \). As \( x \) increases beyond 4, the function continues to decrease dramatically. On the left end, as \( x \) moves towards negative values, the function seems to approach a constant positive y-value. *Options to Identify End Behavior:* - **Option 1:** \[ \begin{aligned} &\text{As } x \to -\infty, \ f(x) \to \infty \\ &\text{As } x \to 4, \ f(x) \to -\infty \end{aligned} \] - **Option 2:** \[ \begin{aligned} &\text{As } x \to -\infty, \ f(x) \to -\infty \\ &\text{As } x \to \infty, \ f(x) \to \infty \end{aligned} \] - **Option 3:** \[ \begin{aligned} &\text{As } x \to -\infty, \ f(x) \to 4 \\ &\text{As } x \to \infty, \ f(x) \to \infty \end{aligned} \] - **Option 4:** \[ \begin{aligned} &\text{As } x \to 4, \ f(x) \to -\infty \\ &\text{As } x \to \infty, \ f(x) \to \infty \end{aligned} \] *Analyzing the Graph:* - As \( x \) approaches infinity (\( x \to \infty \)), the value of \( f(x) \) approaches infinity, meaning the function increases without bound. - As \( x \) approaches 4 (\(
Transcribed Image Text:--- **Topic: Understanding Logarithmic Functions and Their End Behavior** **Identify the end behavior of the given logarithmic function.** *Graph Analysis:* The graph presented is a logarithmic function. The x-axis and y-axis are labeled, and the grid provides a visual representation of the function's behavior as \( x \) approaches different values. The function decreases from the positive y-direction and curves sharply downwards as it approaches \( x = 0 \). As \( x \) increases beyond 4, the function continues to decrease dramatically. On the left end, as \( x \) moves towards negative values, the function seems to approach a constant positive y-value. *Options to Identify End Behavior:* - **Option 1:** \[ \begin{aligned} &\text{As } x \to -\infty, \ f(x) \to \infty \\ &\text{As } x \to 4, \ f(x) \to -\infty \end{aligned} \] - **Option 2:** \[ \begin{aligned} &\text{As } x \to -\infty, \ f(x) \to -\infty \\ &\text{As } x \to \infty, \ f(x) \to \infty \end{aligned} \] - **Option 3:** \[ \begin{aligned} &\text{As } x \to -\infty, \ f(x) \to 4 \\ &\text{As } x \to \infty, \ f(x) \to \infty \end{aligned} \] - **Option 4:** \[ \begin{aligned} &\text{As } x \to 4, \ f(x) \to -\infty \\ &\text{As } x \to \infty, \ f(x) \to \infty \end{aligned} \] *Analyzing the Graph:* - As \( x \) approaches infinity (\( x \to \infty \)), the value of \( f(x) \) approaches infinity, meaning the function increases without bound. - As \( x \) approaches 4 (\(
Expert Solution
steps

Step by step

Solved in 3 steps

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