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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Question
![### Graph Linear Equations
**Instruction:**
Give the equation for each graph.
**Graph Descriptions:**
1. **First Graph:**
- This graph displays a horizontal line running parallel to the x-axis.
- The line intersects the y-axis at \( y = -3 \).
- This is represented by the equation:
\[ y = -3 \]
2. **Second Graph:**
- This graph exhibits a vertical line running parallel to the y-axis.
- The line intersects the x-axis at \( x = -1 \).
- This is represented by the equation:
\[ x = -1 \]
**Note:** For horizontal lines, the equation is always in the form \( y = c \) where \( c \) is the y-intercept. For vertical lines, the equation is always in the form \( x = c \) where \( c \) is the x-intercept.
**Form Filling:**
Below each graph, enter the respective equation in the provided text box to complete the exercise.
**Example:**
- For the first graph: Enter \( y = -3 \)
- For the second graph: Enter \( x = -1 \)
---
These graphs are fundamental examples showing key concepts of linear functions based on their nature – horizontal and vertical lines.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11f50382-dc41-434c-a8e4-3cb9cbf912c9%2F5b34b9bf-ab01-4c21-9e10-06d337025593%2Fegbmvs5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Graph Linear Equations
**Instruction:**
Give the equation for each graph.
**Graph Descriptions:**
1. **First Graph:**
- This graph displays a horizontal line running parallel to the x-axis.
- The line intersects the y-axis at \( y = -3 \).
- This is represented by the equation:
\[ y = -3 \]
2. **Second Graph:**
- This graph exhibits a vertical line running parallel to the y-axis.
- The line intersects the x-axis at \( x = -1 \).
- This is represented by the equation:
\[ x = -1 \]
**Note:** For horizontal lines, the equation is always in the form \( y = c \) where \( c \) is the y-intercept. For vertical lines, the equation is always in the form \( x = c \) where \( c \) is the x-intercept.
**Form Filling:**
Below each graph, enter the respective equation in the provided text box to complete the exercise.
**Example:**
- For the first graph: Enter \( y = -3 \)
- For the second graph: Enter \( x = -1 \)
---
These graphs are fundamental examples showing key concepts of linear functions based on their nature – horizontal and vertical lines.
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