# Determining the Nature of a Function **Objective**: Determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line. ### Data Table Below is the table of values for the function: | x | y | |----|----| | -2 | 7 | | -1 | 4 | | 0 | 1 | | 1 | -2 | | 2 | -5 | ### Instructions Select the correct choice below and fill in any answer boxes within your choice: - **A.** The function is linear. The equation of the line is _____. *(Type your answer in slope-intercept form.)* - **B.** The function is nonlinear. *Note: Use the "Click to select and enter your answer(s)" option to input your response.* In this task, determine if the relationship between the variables x and y is linear by examining the change in y with respect to x. If the function is linear, express it in the form y = mx + b, where m is the slope and b is the y-intercept.

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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# Determining the Nature of a Function

**Objective**: Determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line.

### Data Table

Below is the table of values for the function:

| x  | y  |
|----|----|
| -2 | 7  |
| -1 | 4  |
| 0  | 1  |
| 1  | -2 |
| 2  | -5 |

### Instructions

Select the correct choice below and fill in any answer boxes within your choice:

- **A.** The function is linear. The equation of the line is _____.  
   *(Type your answer in slope-intercept form.)*

- **B.** The function is nonlinear.

*Note: Use the "Click to select and enter your answer(s)" option to input your response.*

In this task, determine if the relationship between the variables x and y is linear by examining the change in y with respect to x. If the function is linear, express it in the form y = mx + b, where m is the slope and b is the y-intercept.
Transcribed Image Text:# Determining the Nature of a Function **Objective**: Determine whether the given function is linear or nonlinear. If it is linear, determine the equation of the line. ### Data Table Below is the table of values for the function: | x | y | |----|----| | -2 | 7 | | -1 | 4 | | 0 | 1 | | 1 | -2 | | 2 | -5 | ### Instructions Select the correct choice below and fill in any answer boxes within your choice: - **A.** The function is linear. The equation of the line is _____. *(Type your answer in slope-intercept form.)* - **B.** The function is nonlinear. *Note: Use the "Click to select and enter your answer(s)" option to input your response.* In this task, determine if the relationship between the variables x and y is linear by examining the change in y with respect to x. If the function is linear, express it in the form y = mx + b, where m is the slope and b is the y-intercept.
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