91Ó°ÊÓ

For the following exercises, find the average rate of change \(\frac{f(x+h)-f(x)}{h}\) $$ f(x)=2 x^{2}-1 $$

For the following exercises, find the average rate of change \(\frac{f(x+h)-f(x)}{h}\) $$ f(x)=x^{2}+3 x+4 $$

For the following exercises, find the average rate of change \(\frac{f(x+h)-f(x)}{h}\) $$ f(x)=x^{2}+4 x-100 $$

For the following exercises, find the average rate of change \(\frac{f(x+h)-f(x)}{h}\) $$ f(x)=2 x^{3}-4 x $$

For the following exercises, find the average rate of change \(\frac{f(x+h)-f(x)}{h}\) $$ f(x)=\frac{1}{x} $$

For the following exercises, find the average rate of change \(\frac{f(x+h)-f(x)}{h}\) $$ f(x)=\frac{1}{x^{2}} $$

For the following exercises, find the average rate of change \(\frac{f(x+h)-f(x)}{h}\) $$ f(x)=\sqrt{x} $$

The position function \(s(t)=-16 t^{2}+144 t\) gives the position of a projition of a projectile as a function of time. Find the average velocity (average rate of change) on the interval \([1,2] .\)

The he height of a projectile is given by \(s(t)=-64 t^{2}+192 t\) tind the average rate of change of the height from \(t=1\) second to \(t=1.5\) seconds.

The amount of money in an account after \(t\) years compounded continuously at 4.25\(\%\) interest is given by the formula \(A=A_{0} e^{0.0425 t},\) where \(A_{0}\) is the initial amount invested. Find the average rate of change of the balance of the account from \(t=1\) year to \(t=2\) years if the initial amount invested is \(\$ 1,000.00\)