Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![### Educational Website Content: Function Table and Inverse Function Practice
#### Instructions:
Use the table below to fill in the missing values.
#### Function Table
| \( x \) | \( f(x) \) |
|:-------:|:----------:|
| 0 | 4 |
| 1 | 5 |
| 2 | 1 |
| 3 | 0 |
| 4 | 6 |
| 5 | 2 |
| 6 | 3 |
| 7 | 9 |
| 8 | 8 |
| 9 | 7 |
#### Questions:
1. \( f(3) = \) [Enter the value from the table corresponding to \( x = 3 \)]
2. If \( f(x) = 2 \) then \( x = \) [Identify \( x \) such that the function \( f(x) = 2 \)]
3. \( f^{-1}(0) = \) [Find the value of \( x \) where the function output, \( f(x) \), is 0]
4. If \( f^{-1}(x) = 5 \) then \( x = \) [Identify the output of the function \( f(x) \) when \( x \) is the inverse of 5]
#### Tools:
- [Calculator]
- [Check Answer]
### Graphs or Diagrams Explanation:
The table functions as both a direct and inverse function lookup. You can use it to determine the output of a function \( f(x) \) for specific inputs \( x \), and inversely, to find the input \( x \) when you know the output \( f(x) \). This is useful in understanding how functions and their inverses work in practical scenarios.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F73703494-0047-446a-8ecd-c730d28d528c%2Fc59caa63-815d-47b2-bf23-09cc4921e110%2Fwd10e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Website Content: Function Table and Inverse Function Practice
#### Instructions:
Use the table below to fill in the missing values.
#### Function Table
| \( x \) | \( f(x) \) |
|:-------:|:----------:|
| 0 | 4 |
| 1 | 5 |
| 2 | 1 |
| 3 | 0 |
| 4 | 6 |
| 5 | 2 |
| 6 | 3 |
| 7 | 9 |
| 8 | 8 |
| 9 | 7 |
#### Questions:
1. \( f(3) = \) [Enter the value from the table corresponding to \( x = 3 \)]
2. If \( f(x) = 2 \) then \( x = \) [Identify \( x \) such that the function \( f(x) = 2 \)]
3. \( f^{-1}(0) = \) [Find the value of \( x \) where the function output, \( f(x) \), is 0]
4. If \( f^{-1}(x) = 5 \) then \( x = \) [Identify the output of the function \( f(x) \) when \( x \) is the inverse of 5]
#### Tools:
- [Calculator]
- [Check Answer]
### Graphs or Diagrams Explanation:
The table functions as both a direct and inverse function lookup. You can use it to determine the output of a function \( f(x) \) for specific inputs \( x \), and inversely, to find the input \( x \) when you know the output \( f(x) \). This is useful in understanding how functions and their inverses work in practical scenarios.
Expert Solution
Step 1
NOTE: Refresh your page if you can't see any equations.
.
| x | f(x) |
| 0 | 4 |
| 1 | 5 |
| 2 | 1 |
| 3 | 0 |
| 4 | 6 |
| 5 | 2 |
| 6 | 3 |
| 7 | 9 |
| 8 | 8 |
| 9 | 7 |
.
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