91Ó°ÊÓ

Evaluate the following expressions or state that the quantity is undefined. $$\sin (-\pi / 2)$$

Stale the domain of the function. $$F(w)=\sqrt[4]{2-w}$$

Taxicab fees A taxicab ride costs $$ 3.50\( plus $$ 2.50 per mile for the first 5 miles, with the rate dropping to $$ 1.50\) per mile after the fifth mile. Let \(m\) be the distance (in miles) from the airport to a hotel. Find and graph the piecewise linear function \(c(m)\) that represents the cost of taking a taxi from the airport to a hotel \(m\) miles away.

Find the inverse function (on the given interval, if specified) and graph both \(f\)and \(f^{-1}\) on the same set of axes. Check your work by looking for the required symmetry in the graphs. $$f(x)=\sqrt{x+2}, \text { for } x \geq-2$$

Graph the following functions. $$f(x)=\left\\{\begin{array}{ll} \frac{x^{2}-x}{x-1} & \text { if } x \neq 1 \\ 2 & \text { if } x=1 \end{array}\right.$$

Stale the domain of the function. $$f(x)=\left(9-x^{2}\right)^{3 / 2}$$

Evaluate the following expressions or state that the quantity is undefined. $$\cos (-\pi)$$

Find the inverse function (on the given interval, if specified) and graph both \(f\)and \(f^{-1}\) on the same set of axes. Check your work by looking for the required symmetry in the graphs. $$f(x)=\sqrt{3-x}, \text { for } x \leq 3$$

Graph the following functions. $$f(x)=\left\\{\begin{array}{ll} \frac{x^{2}-x-2}{x-2} & \text { if } x \neq 2 \\ 4 & \text { if } x=2 \end{array}\right.$$

Evaluate the following expressions or state that the quantity is undefined. $$\tan 3 \pi$$