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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Transcribed Image Text:### Identifying Functions Exercise
**Instructions:**
Identify the tables that represent a function by circling the letter above the table.
**Tables:**
#### A
| x | y |
|---|---|
| 1 | 1 |
| 2 | 2 |
| 3 | 1 |
| 1 | 1 |
#### B
| x | y |
|---|---|
| 1 | 1 |
| 2 | 1 |
| 3 | 2 |
| 1 | 1 |
#### C
| x | y |
|---|---|
| 1 | 1 |
| 1 | 1 |
| 2 | 2 |
| 2 | 2 |
#### D
| x | y |
|---|---|
| 1 | 2 |
| 2 | 1 |
| 3 | 1 |
| 4 | 2 |
**Explanation:**
A function is a relation in which each input (x value) has exactly one output (y value). To determine if a table represents a function, check if each x value appears only once with a unique corresponding y value.
In these tables:
- Table A has the x value '1' paired with '1' multiple times.
- Table B has the x value '1' paired with '1' multiple times.
- Table C has the x values '1' and '2' paired consistently with specific y values, implying a mapping.
- Table D appears to have unique x values each paired with a single y value.
Circle the letter of the table that meets the function criteria.
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