Question

How does `g(t) = 9^t` change over the interval from `t=5` to `t=7`?

Answer 1

See below.

Explanation:

Not sure what you are asking here. The function is increasing in the interval `[5 , 7 ]` The average rate of change is given by:

`(f(7)-f(5))/(7-5)=(9^7-9^5)/2=2361960`

Graph: