Question

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

Answer 1

Answer:

linear

Step-by-step explanation:

If the function is linear, then:

$\dfrac{rise}{run}=constant$

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

From the table we have pairs of points:

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

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

(0, 3), (1, 7)

Substitute:

$\dfrac{1-(-5)}{-1-(-2)}=\dfrac{4}{1}=4\\\\\dfrac{3-(-1)}{0-(-1)}=\dfrac{4}{1}=4\\\\\dfrac{7-3}{1-0}=\dfrac{4}{1}=4$

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