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...
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.
\[ x = \_\_\_ \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F143606b0-6644-4d74-8a86-d7ca6688628b%2Ff91609eb-59dd-4c16-967e-c4f617324f43%2Fhk3gerh_processed.jpeg&w=3840&q=75)
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,
we have to find the vertical asymptote.
Step by step
Solved in 3 steps with 2 images

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