Question

Let f(x)=x^2−2x−4 . What is the average rate of change for the quadratic function from x=−1 to x = 4? Enter your answer in the box. Show your work

Answer 1

remember
rate of change/slope between (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)

so the average from x=-1 to x=4 is
(f(4)-f(-1))/(4-(-1))
f(-1)=-1
f(4)=4

average is (4-(-1))/(4-(-1))=1


average rate of change is 1