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
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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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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