Match each interval with the corresponding rate of change for the function h (x) = 2-x on the interval.

1. - 2 ≤ x ≤ 0

6

-0.5000

2. 0 ≤ x ≤ 2

5

-1.0000

3. - 1 ≤ x ≤ 0

4

-0.3750

4. 0 ≤ x ≤ 1

3

-1.5000

5. - 2 ≤ x ≤ - 1

2

-2.0000

6. - 2 ≤ x ≤ 2

1

-0.9375

Function: h (x) = 2 ^ (-x)

In the table below is the complete calculation of the rate of change.

The last column has the resulting rate of chages for each interval.

Interval change of h (x) change of x rate of change

-2 ≤ x ≤ 0 2^0 - 2^ ( - (-2)) = - 3 0 - (-2) = 2 - 3 / 2 = - 1.5000

0 ≤ x ≤ 2 2^ (-2) - 2^0 = - 0.75 2 - 0 = 2 - 0.75 / 2 = - 0.3750

-1 ≤ x ≤ 0 2^0 - 2 ( - (-1)) = - 1 0 - (-1) = 1 - 1/1 = - 1.0000

0 ≤ x ≤ 1 2^ (-1) - 2^0 = - 0.5 1 - 0 = 1 - 0.5 / 1 = - 0.5000

-2 ≤ x ≤ - 1 2^ ( - (-1)) - 2^ ( - (-2)) = - 2 - 1 - (-2) = 1 - 2 / 1 = - 2.0000

-2 ≤ x ≤ 2 2^ (-2) - 2^ ( - (-2)) = - 3.75 2 - (-2) = 4 - 3.75/4 = - 0.9375