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=(0-(-10))/(2-0)\Rightarrow r=5`

So, the average rate of change is 5.