Question

How does g(x)=5^x change over the interval from x=2 to x=4

Answer 1

To find the change of a function over an interval, we use the following formula.

`(g(b)-g(a))/(b-a)`

Where (a, g(a)) and (b, g(b)).

So, first, we have to evaluate the function for x = 2 and x = 4.

`\begin{gathered} g(2)=5^2=25 \\ g(4)=5^4=625 \end{gathered}`

Then, we use the formula.

`(625-25)/(4-2)=(600)/(2)=300`

Hence, the change over the interval is 300.