Question

Find the average rate of change of each function on the interval specified in simplest form. Do not type your answer in factored form and do not type any spaces between characters. g(x)=2x^2-9 on the interval [4,b]The average rate of change is Answer

Answer 1

Okay, here we have this:

We need to calculate the average rate of change of the following function: g(x)=2x^2-9 on the interval [4,b]

So, let's replace in the following formula:

`\begin{gathered} A(x)=(f(b)-f(a))/(b-a) \\ A(x)=(\left(2b^2-9\right)-23)/(b-4) \\ A(x)=(2b^2-32)/(b-4) \\ A(x)=(2(b+4)(b-4))/(b-4) \\ A(x)=2(b+4) \\ A(x)=2b+8 \end{gathered}`

Finally we obtain that the average rate of change of g(x)=2x^2-9 on the interval [4,b] is equal to 2b+8.