Question

Find the average rate of change of g(x) =-x²+2x+2 from x=2 to x = 6.

Simplify your answer as much as possible.

Answer 1

Solve the equation replacing x with 2 and the 6:

-2^2 + 2(2) + 2 = 4 + 4 + 2 =10

-6^2 + 2(6) + 2 = 36 + 12 + 2 = 50

Difference between the answers: 50-10 = 40

Difference between 2 and 6 = 6-2 = 4

Average rate of change = 40/4 = 10

The answer is 10