91Ó°ÊÓ

Taxicab fees A taxicab ride costs $$ 3.50\( plus $$ 2.50 per mile. Let \)m\( be the distance (in miles) from the airport to a hotel. Find and graph the function \)c(m)$ that represents the cost of taking a taxi from the airport to the hotel. Also determine how much it will cost if the hotel is 9 miles from the airport.

Use analytical and/or graphical methods to determine the largest possible sets of points on which the following functions have an inverse. $$f(x)=-(6-x)^{2}$$

Evaluate the following expressions or state that the quantity is undefined. $$\cot (-17 \pi / 3)$$

State the domain and range of the function. $$f(x)=\sqrt{7-x^{2}}$$

Evaluate the following expressions or state that the quantity is undefined. $$\sin (16 \pi / 3)$$

Use analytical and/or graphical methods to determine the largest possible sets of points on which the following functions have an inverse. \(f(x)=x^{2}-2 x+8\) (Hint: Complete the square.)

State the domain and range of the function. $$f(x)=-\sqrt{25-x^{2}}$$

Parking fees Suppose that it costs \(5 \notin\) per minute to park at the airport, with the rate dropping to \(3 \notin\) per minute after 9 P.M. Find and graph the cost function \(c(t)\) for values of \(t\) satisfying \(0 \leq t \leq 120\) Assume that \(t\) is the number of minutes after 8 P.M.

Stale the domain of the function. $$h(u)=\sqrt[3]{u-1}$$

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. $$f(x)=8-4 x$$