Use the graph to determine the equation of the vertical asymptote: -5 -4 -3 -2 -1 X || 5- 4 3 2 7 -1 -2 -3 -4 -5- 1 2 3 4 5

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...
icon
Related questions
Question
**Title: Determining the Equation of the Vertical Asymptote from a Graph**

**Instructions:**
Use the graph to determine the equation of the vertical asymptote.

**Graph Description:**
- The graph is plotted on a standard Cartesian plane with both x (horizontal) and y (vertical) axes marked.
- The graph features a hyperbola with two distinct branches. 
- One branch is in the upper-left quadrant, approaching but not touching the vertical line \( x = -1 \) from the left as it heads towards positive infinity, and the other branch is in the lower-right quadrant.
- The asymptote \( x = 0 \) seen in the graph suggests that the function is undefined at this point, causing the sharp divisions apparent in the curve.

**Graph Details:**
- The x-axis ranges from -5 to 5.
- The y-axis ranges from -5 to 5.
- The vertical asymptote appears at \( x = -1 \).

**Task:**
Fill in the box below with the equation of the vertical asymptote. 

\[ x = \_\_\_ \]
Transcribed Image Text:**Title: Determining the Equation of the Vertical Asymptote from a Graph** **Instructions:** Use the graph to determine the equation of the vertical asymptote. **Graph Description:** - The graph is plotted on a standard Cartesian plane with both x (horizontal) and y (vertical) axes marked. - The graph features a hyperbola with two distinct branches. - One branch is in the upper-left quadrant, approaching but not touching the vertical line \( x = -1 \) from the left as it heads towards positive infinity, and the other branch is in the lower-right quadrant. - The asymptote \( x = 0 \) seen in the graph suggests that the function is undefined at this point, causing the sharp divisions apparent in the curve. **Graph Details:** - The x-axis ranges from -5 to 5. - The y-axis ranges from -5 to 5. - The vertical asymptote appears at \( x = -1 \). **Task:** Fill in the box below with the equation of the vertical asymptote. \[ x = \_\_\_ \]
Expert Solution
Step 1: Explanation of the given question

Here the given graph is,

Calculus homework question answer, step 1, image 1

we have to find the vertical asymptote.

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning