Find the average rate of change of f(x) = 2x^2 + 2 over each of the following intervals.

Question

(a) From 1 to 3.

(b) From 2 to 4.

(c) From -2 to 1.

(a) The average rate of change from 1 to 3 is.

Answer 1

hi,

for finding average it's enough you know: [f(x₁) - f(x₂)] / ( x₁ -x₂)

f(x) = 2x^2 + 2

(a) From 1 to 3. x₁=1 and x₂ = 3 =====> f(1) = 2(1)^2 + 2 =4 , & f(3) = 2(3)^2 + 2 =20 ===>

ave = [4 - 20]/(1-3)=8

for other points you can do the same

Good luck,

Minoo