91Ó°ÊÓ

Use a graphing utility to graph each function. Be sure to adjust your window size to see a complete graph. $$f(x)=-2.36 x^{2}-9$$

A commissioned salesperson's earnings can be determined by the function $$S(x)=1000+20 x$$ where \(x\) is the number of items sold. Find and interpret \(S(30)\).

Find the equation of the line, in point-slope form, passing through the pair of points. $$\left(\frac{1}{2},-1\right) \text { and } \left(3, \frac{1}{2}\right)$$

Solve the inequality. Express your answer in interval notation. $$\frac{1}{3}(x+1)

Use a graphing utility to graph each function. Be sure to adjust your window size to see a complete graph. $$f(x)=-2.4 x^{2}+8.5$$

Find the equation of the line, in point-slope form, passing through the pair of points. $$\left(\frac{1}{3}, 2\right) \text { and } \left(4, \frac{1}{4}\right)$$

Solve the inequality. Express your answer in interval notation. $$-2 x-1 \geq \frac{x+5}{2}$$

The distance between the \(n\) supports of a horizontal beam 10 fect long is given by $$d(n)=\frac{10}{\sqrt{n^{2}-1}}$$ if bending is to be kept to a minimum. (a) Find \(d(2), d(3),\) and \(d(5)\) (b) What is the domain of this function?

A car travels 45 miles per hour. (a) Write the distance traveled by the car (in miles) as a function of the time (in hours). (b) How far does the car travel in 2 hours? Write this information using function notation. (c) Find the domain and range of this function.

Solve the inequality. Express your answer in interval notation. $$\frac{1}{3} x+2 \leq \frac{3}{2} x-1$$