MATH SOLVE

5 months ago

Q:
# Find the average rate of change for f (x)=x2+7x+10 from x=0 to x=2

Accepted Solution

A:

Answer:9Step-by-step explanation:[tex] average~rate~of~change = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1} [/tex][tex] x_1 = 0 [/tex][tex] x_2 = 2 [/tex][tex] f(x_1) = f(0) = 0^2 + 7(0) + 10 = 10 [/tex][tex] f(x_2) = f(2) = 2^2 + 7(2) + 10 = 4 + 14 + 10 = 28 [/tex][tex] average~rate~of~change = \dfrac{f(x_2) - f(x_1)}{x_2 - x_1} [/tex][tex] average~rate~of~change = \dfrac{28 - 10}{2 - 0} [/tex][tex] average~rate~of~change = \dfrac{18}{2} [/tex][tex] average~rate~of~change = 9 [/tex]