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Which table represents a linear function? y y -1 -1 0. 0. 1 1 -2 -1 -7 3 -3 4 -14 -5 y 3 y -1 -1 1 0. 1 1 1 -2 -6 -1 -14 >53- O12 M4 23 234

Which table represents a linear function? y y -1 -1 0. 0. 1 1 -2 -1 -7 3 -3 4 -14 -5 y 3 y -1 -1 1 0. 1 1 1 -2 -6 -1 -14 >53- O12 M4 23 234

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Which table represents a linear function?** Below are four tables displaying pairs of x and y coordinates. Identify which table represents a linear function. 1. **First Table:** | x | y | |----|----| | -1 | 0 | | 0 | 2 | | 2 | -2 | | 3 | -7 | | 4 | -14| 2. **Second Table:** | x | y | |----|----| | -1 | 5 | | 0 | 3 | | 1 | 1 | | 2 | -1 | | 3 | -3 | | 4 | -5 | 3. **Third Table:** | x | y | |----|-------| | -1 | -3/2 | | 0 | 1 | | 1 | 1 | | 2 | -2 | | 3 | -6 | | 4 | -14 | 4. **Fourth Table:** | x | y | |----|----| | -1 | 1 | | 0 | 2 | | 1 | 1 | | 2 | 0 | | 3 | -1 | | 4 | -2 | A linear function forms a straight line when graphed and has a constant rate of change (slope). Analyze the values in each table to determine which one represents a linear function. Verify if for each increase of one unit in x, the change in y is consistent across all data points in the table.
Transcribed Image Text:**Which table represents a linear function?** Below are four tables displaying pairs of x and y coordinates. Identify which table represents a linear function. 1. **First Table:** | x | y | |----|----| | -1 | 0 | | 0 | 2 | | 2 | -2 | | 3 | -7 | | 4 | -14| 2. **Second Table:** | x | y | |----|----| | -1 | 5 | | 0 | 3 | | 1 | 1 | | 2 | -1 | | 3 | -3 | | 4 | -5 | 3. **Third Table:** | x | y | |----|-------| | -1 | -3/2 | | 0 | 1 | | 1 | 1 | | 2 | -2 | | 3 | -6 | | 4 | -14 | 4. **Fourth Table:** | x | y | |----|----| | -1 | 1 | | 0 | 2 | | 1 | 1 | | 2 | 0 | | 3 | -1 | | 4 | -2 | A linear function forms a straight line when graphed and has a constant rate of change (slope). Analyze the values in each table to determine which one represents a linear function. Verify if for each increase of one unit in x, the change in y is consistent across all data points in the table.
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