Question

What is the average rate of change of the function f(x) = x^2 + 3x - 10 on the interval fromx= 0 to x = 2?

Answer 1

We will determine the average rate of change for the expression as follows:

$f(x)=x^2+3x-10$

*First: We replace the values and solve for f(0) & f(2), that is:

*x = 0:

$f(0)=-10$

*x = 2:

$f(2)=0$

*Secon: We determine the average rate of change:

$r=\frac{0-(-10)}{2-0}\Rightarrow r=5$

So, the average rate of change is 5.