For each of the following questions on intercepts, if there is more than one solution, enter all solutions as a comma-separated list, like "1, 3". ### a. Consider the function \( f(x) = 6(x + 7) - 7 \). i. **What is the vertical intercept of \( f \)?** [Input Box] ii. **What are the horizontal intercepts (or "roots") of \( f \)?** [Input Box] iii. **What is the domain of \( f \)?** [Input Box] iv. **What is the range of \( f \)?** [Input Box] ### b. Consider the function \( g(x) = (4 - 2x)(8 - x) \). i. **What is the vertical intercept of \( g \)?** [Input Box] ii. **What are the horizontal intercepts (or "roots") of \( g \)?** [Input Box] iii. **What is the domain of \( g \)?** [Input Box] iv. **What is the range of \( g \)?** **Tip:** Use a graphing tool like [www.Desmos.com](http://www.Desmos.com) to find the maximum and minimum of \( g \). [Input Box] --- **Instructions for Answer Boxes:** - **Box 1:** Enter your answer as a list of values separated by commas. Example: -4, 3, 2 Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity - **Box 2:** Enter your answer as a list of values separated by commas. Example: -3, 4, 3, 2 This layout is designed for student interaction in educational settings.
For each of the following questions on intercepts, if there is more than one solution, enter all solutions as a comma-separated list, like "1, 3". ### a. Consider the function \( f(x) = 6(x + 7) - 7 \). i. **What is the vertical intercept of \( f \)?** [Input Box] ii. **What are the horizontal intercepts (or "roots") of \( f \)?** [Input Box] iii. **What is the domain of \( f \)?** [Input Box] iv. **What is the range of \( f \)?** [Input Box] ### b. Consider the function \( g(x) = (4 - 2x)(8 - x) \). i. **What is the vertical intercept of \( g \)?** [Input Box] ii. **What are the horizontal intercepts (or "roots") of \( g \)?** [Input Box] iii. **What is the domain of \( g \)?** [Input Box] iv. **What is the range of \( g \)?** **Tip:** Use a graphing tool like [www.Desmos.com](http://www.Desmos.com) to find the maximum and minimum of \( g \). [Input Box] --- **Instructions for Answer Boxes:** - **Box 1:** Enter your answer as a list of values separated by commas. Example: -4, 3, 2 Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity - **Box 2:** Enter your answer as a list of values separated by commas. Example: -3, 4, 3, 2 This layout is designed for student interaction in educational settings.
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
Part a
iv
part b
i and ii
![For each of the following questions on intercepts, if there is more than one solution, enter all solutions as a comma-separated list, like "1, 3".
### a. Consider the function \( f(x) = 6(x + 7) - 7 \).
i. **What is the vertical intercept of \( f \)?**
[Input Box]
ii. **What are the horizontal intercepts (or "roots") of \( f \)?**
[Input Box]
iii. **What is the domain of \( f \)?**
[Input Box]
iv. **What is the range of \( f \)?**
[Input Box]
### b. Consider the function \( g(x) = (4 - 2x)(8 - x) \).
i. **What is the vertical intercept of \( g \)?**
[Input Box]
ii. **What are the horizontal intercepts (or "roots") of \( g \)?**
[Input Box]
iii. **What is the domain of \( g \)?**
[Input Box]
iv. **What is the range of \( g \)?**
**Tip:** Use a graphing tool like [www.Desmos.com](http://www.Desmos.com) to find the maximum and minimum of \( g \).
[Input Box]
---
**Instructions for Answer Boxes:**
- **Box 1:** Enter your answer as a list of values separated by commas. Example: -4, 3, 2
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
- **Box 2:** Enter your answer as a list of values separated by commas. Example: -3, 4, 3, 2
This layout is designed for student interaction in educational settings.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1eaa901e-b966-48c8-a0c6-24185309b031%2Fea1865b6-026a-4089-a192-4a60ff3d9249%2Fpru6rgd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For each of the following questions on intercepts, if there is more than one solution, enter all solutions as a comma-separated list, like "1, 3".
### a. Consider the function \( f(x) = 6(x + 7) - 7 \).
i. **What is the vertical intercept of \( f \)?**
[Input Box]
ii. **What are the horizontal intercepts (or "roots") of \( f \)?**
[Input Box]
iii. **What is the domain of \( f \)?**
[Input Box]
iv. **What is the range of \( f \)?**
[Input Box]
### b. Consider the function \( g(x) = (4 - 2x)(8 - x) \).
i. **What is the vertical intercept of \( g \)?**
[Input Box]
ii. **What are the horizontal intercepts (or "roots") of \( g \)?**
[Input Box]
iii. **What is the domain of \( g \)?**
[Input Box]
iv. **What is the range of \( g \)?**
**Tip:** Use a graphing tool like [www.Desmos.com](http://www.Desmos.com) to find the maximum and minimum of \( g \).
[Input Box]
---
**Instructions for Answer Boxes:**
- **Box 1:** Enter your answer as a list of values separated by commas. Example: -4, 3, 2
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
- **Box 2:** Enter your answer as a list of values separated by commas. Example: -3, 4, 3, 2
This layout is designed for student interaction in educational settings.
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