Problema Solution
find the average rate of change in the function between the given values of x;
For f(x)=x^2+2x, between x=-1 and x=4
Answer provided by our tutors
f(x)=x^2+2x
for x=-1
f(-1) = (-1)^2 + 2(-1)
f(-1) = -1
for x=4
f(4)=4^2+2*4
f(4) = 24
the average rate of change is
|f(4) - f(1)| / |4 - (-1)| = |24-(-1)|/|4+1| = 25/5 = 5.