Find the average rate of change of f(x) = 2x^2+6

a) from 2 to 4
b) from 1 to 3
c) from -2 to 1

* THE ANSWERS ARE ON PIC but I need to know how to solve them step by step*

Given:

To find:

The average rate of change.

Solution:

Average rate of change formula:

(a) Average rate of change from 2 to 4:

Substitute x = 4 and x = 2 in f(x).

                  = 12

Average rate of change from 2 to 4 is 12.

(b) Average rate of change from 1 to 3:

Substitute x = 3 and x = 1 in f(x).

                   = 8

Average rate of change from 2 to 4 is 8.

(c) Average rate of change from -2 to 1:

Substitute x = 1 and x = -2 in f(x).

                       = -2

Average rate of change from 2 to 4 is -2.

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step-by-step explanation:

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