91Ó°ÊÓ

Find \(\frac{f(a+h)-f(a)}{h}\) for each of the given functions. (Objective 4) $$f(x)=x^{2}+5$$

Find \(\frac{f(a+h)-f(a)}{h}\) for each of the given functions. (Objective 4) $$f(x)=-x^{2}-1$$

Find \(\frac{f(a+h)-f(a)}{h}\) for each of the given functions. (Objective 4) $$f(x)=x^{2}-3 x+7$$

Find \(\frac{f(a+h)-f(a)}{h}\) for each of the given functions. (Objective 4) $$f(x)=2 x^{2}-x+8$$

Find \(\frac{f(a+h)-f(a)}{h}\) for each of the given functions. (Objective 4) $$f(x)=-3 x^{2}+4 x-1$$

Find \(\frac{f(a+h)-f(a)}{h}\) for each of the given functions. (Objective 4) $$f(x)=-4 x^{2}-7 x-9$$

Suppose that the cost function for producing a certain item is given by \(C(n)=3 n+5\), where \(n\) represents the number of items produced. Compute \(C(150), C(500)\), \(C(750)\), and \(C(1500)\).

The height of a projectile fired vertically into the air (neglecting air resistance) at an initial velocity of 64 feet per second is a function of the time \((t)\) and is given by the equation $$ h(t)=64 t-16 t^{2} $$ Compute \(h(1), h(2), h(3)\), and \(h(4)\).

In Company \(\mathrm{S}\), the profit function for selling \(n\) items is given by \(P(n)=-n^{2}+500 n-61,500\). Compute \(P(200), P(230), P(250)\), and \(P(260)\).

A car rental agency charges \(\$ 50\) per day plus \(\$ 0.32\) a mile. Therefore, the daily charge for renting a car is a function of the number of miles traveled \((m)\) and can be expressed as \(C(\mathrm{~m})=50+0.32 \mathrm{~m}\). Compute \(C(75)\), \(C(150), C(225)\), and \(C(650)\).