The function f (x) is represented by this table of values.

xf (x) - 4-12-3-5-20-130413

Match the average rates of change of f (x) with the corresponding intervals.

Tiles

1

2

4

6

Pairs

[-4, - 2]

[-2, 1]

[-3, 1]

[-4, 0]

(x, y) values are: (-4, - 12), (-3, - 5), (-2, 0), (-1, 3), (0, 4), (1, 3)

Then we can solve for average rates of change as (y2 - y1) / (x2 - x1).

For [-4, - 2]: (0 - (-12)) / (-2 - (-4)) = 6

For [-2, 1]: (3 - 0) / (1 - (-2)) = 1

For [-3, 1]: (3 - (-5)) / (1 - (-3)) = 2

For [-4, 0]: (4 - (-12)) / (0 - (-4)) = 4