91Ó°ÊÓ

Graph. $$y=-4$$

Graph each pair of equations on one set of axes. $$y=|x| \text { and } y=|x-3|$$

Graph. List the slope and \(y\) -intercept. $$g(x)=x-2.5$$

Write interval notation for cach of the following. Then graph the interval on a number line. $$\\{x |-2

When modeling the number of hours of daylight for the dates April 22 to August 22, which would be a better choice: a linear function or a quadratic function? Explain.

Graph. (Unless directed otherwise, assume that "Graph" means "Graph by hand.") $$y-7=x^{3}$$

A function \(\int\) is given by \(f(x)=\frac{1}{(x-5)^{2}}.\) This function takes a number \(x\), subtracts 5 from it, squares the result, and takes the reciprocal of the square. a) Find \(f(3), f(-1), f(5), f(k), f(t-1), f(t-4)\) and \(f(x+h) .\) If an output is undefined, state that fact. b) Note that \(\int\) could also be given by \(f(x)=\frac{1}{x^{2}-10 x+25}.\) Explain what this does to an input number \(x\).

Shaun White, "The Flying Tomato," won a gold medal in the 2010 Winter Olympics for snowboarding in the half-pipe. He soared an unprecedented \(25 \mathrm{ft}\) above the edge of the half-pipe. His speed \(v(t),\) in miles per hour, upon reentering the pipe can be approximated by \(v(t)=10.9 t,\) where \(t\) is the number of seconds for which he was airborne. White was airborne for 2.5 sec. (Source: "White Rides to Repeat in Halfpipe, Lago Takes Bronze," Associated Press, 2 / 18 / 2010 . ) How fast was he going when he reentered the half- pipe?

An investor deposits \( 30,000\) in Godel Municipal Bond Funds, at \(4 \% .\) How much is the investment worth (rounded to the nearest cent) at the end of 1 yr, if interest is compounded: a) annually? b) semiannually? c) quarterly? d) daily (use 365 days for 1 yr)? e) hourly?

If \(P\) dollars are borrowed, the monthly payment \(M,\) made at the end of each month for \(n\) months, is given by $$M=P \frac{\frac{i}{12}\left(1+\frac{i}{12}\right)^{n}}{\left(1+\frac{i}{12}\right)^{n}-1}$$ where i is the annual interest rate and \(n\) is the total number of monthly payments. Fermat's Last Bank makes a car loan of \(\$ 18,000,\) at \(6.4 \%\) interest and with a loan period of 3 yr. What is the monthly payment?