Question

Find the average rate of change of f (x) = - 2x² + 4

(a) From 0 to 2
(b) From 1 to 3
(c) From 1 to 4

Answer 1

The function is .

Average rate of change

Step 1:

(a)

Average rate of change of  from  to :

Substitute in above formula

Average rate of change

Average rate of change

Step 2:

(b)

Average rate of change of from to :

Substitute in the formula

Average rate of change

Average rate of change.

Solution:

(a) Average rate of change of f  from  to is

(b) Average rate of change of f  from  to is .

Answer 2

The function is .

Average rate of change

Step 1:

(c)

Average rate of change of from to :

Substitute in the formula

Average rate of change

Average rate of change

Solution:

(c) Average rate of change of f  from to is .