Question

Which expression below gives the average rate of change of the function
$h(x)= \frac{1}{2} (3 ^{x+1/2}) + 3$ on the interval 0 < x < 3?

Answer 1

I know
just use the slope
just do
(h(3)-h(0))/(3-0)

so
h(3)=$(27/2) \sqrt{3} +3$
h(0)=$(1/2) \sqrt{3} +3$

the average slope is $\frac{13\sqrt{3}}{3}$