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20) x y 5 5 5 5 For each function, (a) determine the domain. (b) Is y a function of x? 21) y 7 3 x 5 22) y 8 2x 5 For each function, f, find f(2). 23) f 5(3, 8), (0, 5), (2, 3), (7, 2)6 24) x 6 (x) 5 5 4 Let f (x) 4x 2 and g(x) x2 3x 7. Find each of the following, and simplify. 25) f(6) 26) g(2) 27) g(t) 28) f (h 7) Graph the function. 29) h(x) 3 4 x 5 30) A USB 1.1 device can transfer data at a rate of 12 MB/sec (megabytes/second). Let f (t) 12t represent the number of megabytes of data that can be transferred in t sec. (www.usb.org) a) How many megabytes of a fi le can be transferred in 3 sec? b) How long would it take to transfer 132 MB? 11) Write the standard form for the equation of a line with slope 1 2 containing the point (3, 8). 12) Determine whether 4x 7y 7 and 14x 8y 3 are parallel, perpendicular, or neither. 13) Find the slope-intercept form of the equation of the line a) perpendicular to y 3x 11 containing (12, 5). b) parallel to 5x 2y 2 containing (8, 14). 14) Mr. Kumar owns a computer repair business. The graph shows the annual profi t since 2007. Let x represent the number of years after 2007, and let y represent the annual profi t, in thousands. Annual Profit 65 60 55 50 45 40 35 30 (5, 61) (4, 55.2) (3, 49.7) (2, 42.1) (1, 38) (0, 32) y 0 1 2 3 Year 4 5 Annual profit (in thousands) x a) What was the profi t in 2011? b) Write a linear equation (in slope-intercept form) to model this data. Use the data points for 2007 and 2012. c) What is the slope of the line? What does it mean in the context of the problem? d) What is the y-intercept? What does it mean in the context of the problem? e) If the profi t continues to follow this trend, in what year can Mr. Kumar expect a profi t of $90,000? Graph each inequality. 15) y 3x 1 16) 2x 5y 10 Graph the compound inequality. 17) 2x 3y 12 and x 3 18) y x or 2x y 1 Identify the domain and range of each relation, and determine whether each relation is a function. 19) 5(2, 5), (1, 1), (3, 1), (8, 4)6 226 CHAPTER 4 Linear Equations in Two Variables and Functions www.mhhe.com/messersmith


messersmith_power_intermediate_algebra_1e_ch4_7_10
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