Problem 55
Find the domain of the function. Do not use a graphing calculator: $$f(x)=4-\frac{2}{x}$$
Problem 56
A function \(f\) is a linear function if it can be written as \(f(x)=m x+b,\) where \(m\) and \(b\) are constants. If \(m=0,\) the function is a(n) _____ function \(f(x)=b .\) If \(m=1\) and \(b=0,\) the function is the _____.
Problem 57
In \(2013,\) IBM (International Business Machines) received 2133 more patents than Samsung. Together, they received \(11,485\) patents. (Source: IFI Claims Patent Services) How many patents did each company receive?
Problem 60
Graph the equation in the standard window and in the given window. Determine which window better shows the shape of the graph and the \(x\) - and y-intercepts. $$\begin{aligned} &y=-2 x+24\\\ &[-15,15,-10,30], \text { with } \mathrm{Xscl}=3 \text { and } \mathrm{Yscl}=5 \end{aligned}$$
Problem 61
Graph the equation in the standard window and in the given window. Determine which window better shows the shape of the graph and the \(x\) - and y-intercepts. $$\begin{aligned} &y=-\frac{1}{6} x^{2}+\frac{1}{12}\\\ &[-1,1,-0.3,0.3], \text { with } \mathrm{Xscl}=0.1 \text { and }\\\ &\mathrm{Yscl}=0.1 \end{aligned}$$
Problem 61
Water accounts for \(55 \%\) of a woman's weight (Source: ga.water.usgs.gov/edu). Lily weighs 135 lb. How much of her body weight is water?
Problem 62
Water accounts for \(60 \%\) of a man's weight (Source: ga.water.usgs.gov/edu). Jake weighs 186 lb. How much of his body weight is water?
Problem 65
City Cabs charges a \(\$ 1.75\) pickup fee and \(\$ 1.50\) per mile traveled. Diego's fare for a crosstown ride is \(\$ 19.75 .\) How far did he travel in the cab?
Problem 65
Find the distance between the pair of points. Give an exact answer and, where appropriate, an approximation to three decimal places. $$(-11,-8) \text { and }(1,-13)$$
Problem 68
The elevations of the 31 NFL stadiums range from 3 ft at Mercedes-Benz Superdome, New Orleans, Louisiana, to \(5280 \mathrm{ft}\) at Sports Authority Field at Mile High, Denver, Colorado. The elevation of Sports Authority Field at Mile High is 275 ft higher than seven times the elevation of Lucas Oil Stadium in Indianapolis, Indiana. What is the elevation of Lucas Oil Stadium?