Assume y x2 6x 4 a What is the average rate of change of

Assume y = x^2 + 6x + 4. a. What is the average rate of change of y with respect to x as x changes from 2 to 6? b. What is the average rate of change of y with respect to x as x changes from - 2 to 4? c. What is the average rate of change of y with respect to x as x changes from 0 to 6?

Solution

f(x)=x^2 +6x+4

a. f(2)=20

f(6)=76

average rate of change=(f(6)-f(2))/(6-2) =(76-20)/4=14

b. f(-2)=-4

f(4) =44

average rate of change=(44+4)/(4+2)=8

c.f(0)=4

f(6)=76

average rate of change=(76-4)/(6-0) =12