Question

Find the average rate of change for the function f(x)=3x^2 on the interval [-3,3]

Answer 1

The formula for average rate of change is given by:

$\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} \\ Plugging x2 as 3 and x1 as -3$

$\frac{f(3)-f(-3)}{3-(-3)}$

=(27-27)/6

=0/0

=0

Answer: average rate of change is 0