Question

#Me being lazy ,,20Points for correcting answer with Explanation

Answer 1

linear

Explanation:

If the function is linear, then:

`(rise)/(run)=constant`

`rise=\Delta y=y_2-y_1\\\\run=\Delta x=x_2-x_1`

From the table we have pairs of points:

(-2, -5), (-1, -1)

(-1, -1), (0, 3)

(0, 3), (1, 7)

Substitute:

`(1-(-5))/(-1-(-2))=(4)/(1)=4\\\\(3-(-1))/(0-(-1))=(4)/(1)=4\\\\(7-3)/(1-0)=(4)/(1)=4`

The ratios are the same. Therefore the function is a linear function.