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? Preview ii. What are the horizontal intercepts (or "roots") of f? Preview iii. What is the domain of f? Preview

Calculus: Early Transcendentals
8th Edition
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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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Part a

i ii iii

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] [Preview Button]

- **ii. What are the horizontal intercepts (or "roots") of \( f \)?**

  [Input Box] [Preview Button]

- **iii. What is the domain of \( f \)?**

  [Input Box] [Preview Button]

- **iv. What is the range of \( f \)?**

  [Input Box] [Preview Button]

**b. Consider the function \( g(x) = (4 - 2x)(8 - x) \).**

- **i. What is the vertical intercept of \( g \)?**

  [Input Box] [Preview Button]

- **ii. What are the horizontal intercepts (or "roots") of \( g \)?**

  [Input Box] [Preview Button]

- **iii. What is the domain of \( g \)?**

  [Input Box] [Preview Button]

- **iv. What is the range of \( g \)?**

  _Tip: Use a graphing tool like [Desmos.com](http://www.desmos.com) to find the maximum and minimum of \( g \)._

  [Input Box] [Preview Button]

**Instructions for Input:**

- 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, 00 for Infinity
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] [Preview Button] - **ii. What are the horizontal intercepts (or "roots") of \( f \)?** [Input Box] [Preview Button] - **iii. What is the domain of \( f \)?** [Input Box] [Preview Button] - **iv. What is the range of \( f \)?** [Input Box] [Preview Button] **b. Consider the function \( g(x) = (4 - 2x)(8 - x) \).** - **i. What is the vertical intercept of \( g \)?** [Input Box] [Preview Button] - **ii. What are the horizontal intercepts (or "roots") of \( g \)?** [Input Box] [Preview Button] - **iii. What is the domain of \( g \)?** [Input Box] [Preview Button] - **iv. What is the range of \( g \)?** _Tip: Use a graphing tool like [Desmos.com](http://www.desmos.com) to find the maximum and minimum of \( g \)._ [Input Box] [Preview Button] **Instructions for Input:** - 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, 00 for Infinity
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