34 5 6 7 00 8 9 f(3) = 6239 80 7 if f(x) = 2 then * = f-¹(0) = E

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,...
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### 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.
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

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.

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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