Select all of the following tables which represent y as a function of x. X Y Y X y X Y -3 -2 -3 -4 -1 -1 -2 1 3 2 3 1 4 9 2 674 1 800 14 10 0 23267 43394 2 14 Omma 0 9 670 11 10 11 0 67 7 10

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...
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**Understanding Functions: Identifying If \( y \) is a Function of \( x \)**

In this exercise, you are required to identify which of the provided tables represent \( y \) as a function of \( x \). Recall that for \( y \) to be a function of \( x \), each value of \( x \) must correspond to exactly one value of \( y \).

Below are four tables with values of \( x \) and \( y \). Examine them carefully to determine if \( y \) is uniquely defined for each \( x \).

### Table 1
| \( x \) | \( y \) |
|------------|---------|
| -3         | -2      |
| 2          | 1       |
| 6          | 1       |
| 7          | 8       |
| 14         | 10      |

### Table 2
| \( x \) | \( y \) |
|------------|---------|
| -3         | -4      |
| 2          | 3       |
| 6          | 3       |
| 7          | 9       |
| 2          | 14      |

### Table 3
| \( x \) | \( y \) |
|------------|---------|
| 0          | -1      |
| 3          | 2       |
| 3          | 6       |
| 9          | 7       |
| 11         | 10      |

### Table 4
| \( x \) | \( y \) |
|------------|---------|
| -1         | -2      |
| 3          | 1       |
| 4          | 6       |
| 9          | 7       |
| 11         | 10      |

### Evaluation
1. **Table 1**: Examine the values of \( x \): -3, 2, 6, 7, 14. Each \( x \) value corresponds to a unique \( y \) value.
   
2. **Table 2**: Examine the values of \( x \): -3, 2, 6, 7, 2. Notice that \( x = 2 \) corresponds to \( y = 3 \) and \( y = 14 \). This means \( y \) is not unique for \( x
Transcribed Image Text:**Understanding Functions: Identifying If \( y \) is a Function of \( x \)** In this exercise, you are required to identify which of the provided tables represent \( y \) as a function of \( x \). Recall that for \( y \) to be a function of \( x \), each value of \( x \) must correspond to exactly one value of \( y \). Below are four tables with values of \( x \) and \( y \). Examine them carefully to determine if \( y \) is uniquely defined for each \( x \). ### Table 1 | \( x \) | \( y \) | |------------|---------| | -3 | -2 | | 2 | 1 | | 6 | 1 | | 7 | 8 | | 14 | 10 | ### Table 2 | \( x \) | \( y \) | |------------|---------| | -3 | -4 | | 2 | 3 | | 6 | 3 | | 7 | 9 | | 2 | 14 | ### Table 3 | \( x \) | \( y \) | |------------|---------| | 0 | -1 | | 3 | 2 | | 3 | 6 | | 9 | 7 | | 11 | 10 | ### Table 4 | \( x \) | \( y \) | |------------|---------| | -1 | -2 | | 3 | 1 | | 4 | 6 | | 9 | 7 | | 11 | 10 | ### Evaluation 1. **Table 1**: Examine the values of \( x \): -3, 2, 6, 7, 14. Each \( x \) value corresponds to a unique \( y \) value. 2. **Table 2**: Examine the values of \( x \): -3, 2, 6, 7, 2. Notice that \( x = 2 \) corresponds to \( y = 3 \) and \( y = 14 \). This means \( y \) is not unique for \( x
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