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...
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![Sure! Here's the transcription and description:
---
**Task: Determine the Vertical Asymptote**
Use the graph to determine the equation of the vertical asymptote:
**Graph Description:**
- The graph displays a hyperbola with two branches.
- On the coordinate plane, the hyperbola approaches, but never touches, the vertical line at \( x = -1 \). This line is the vertical asymptote.
- The branches of the hyperbola are located in the second quadrant (top left) and fourth quadrant (bottom right).
- The horizontal asymptote appears to be the x-axis, which the graph approaches but does not intersect.
**Input Prompt:**
\[ x = \, \text{[____]} \]
---
The vertical asymptote is at \( x = -1 \). Fill in the blank with this equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7507552d-033e-4149-9d44-bf1f4165ff0a%2F17bbe4c6-9ceb-4cb1-9bac-6ad7e357e678%2Fduxmwz7_processed.png&w=3840&q=75)
Transcribed Image Text:Sure! Here's the transcription and description:
---
**Task: Determine the Vertical Asymptote**
Use the graph to determine the equation of the vertical asymptote:
**Graph Description:**
- The graph displays a hyperbola with two branches.
- On the coordinate plane, the hyperbola approaches, but never touches, the vertical line at \( x = -1 \). This line is the vertical asymptote.
- The branches of the hyperbola are located in the second quadrant (top left) and fourth quadrant (bottom right).
- The horizontal asymptote appears to be the x-axis, which the graph approaches but does not intersect.
**Input Prompt:**
\[ x = \, \text{[____]} \]
---
The vertical asymptote is at \( x = -1 \). Fill in the blank with this equation.
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