118) Graph f (x) 2x 6 by making a table of values and plotting points. 119) Graph each function using the slope and y-intercept. a) f (x) 2 3 x 1 b) f (x) 3x 2 120) Graph g(x) 3 2 x 3 by fi nding the x- and y-intercepts and one other point. Graph each function. 121) h(c) 5 2 c 4 122) D(t) 3t 123) A USB 2.0 device can transfer data at a rate of 480 MB/sec (megabytes/second). Let f (t) 480t 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 2 sec? in 6 sec? b) How long would it take to transfer a 1200 MB fi le? 124) A jet travels at a constant speed of 420 mph. The distance D (in miles) that the jet travels after t hr can be defi ned by the function D(t) 5 420t a) Find D(2), and explain what this means in the context of the problem. b) Find t so that D(t) 2100, and explain what this means in the context of the problem. For each function, f, find f(3) and f(2). 112) f {(7, 2), (2, 5), (1, 10), (3, 14)} 113) 2035 f 8 0 27 125 114) x y 5 5 5 5 115) Let f (x) 5x 12, g(x) x2 6x 5. Find each of the following and simplify. a) f(4) b) f (3) c) g(3) d) g(0) e) f (a) f) g(t) g) f (k 8) h) f (c 2) i) f (x h) j) f (x h) f (x) 116) h(x) 3x 7. Find x so that h(x) 19. 117) f (x) 3 2 x 5. Find x so that f (x) 11 2 . 1) Is (9, 13) a solution of 5x 3y 6? 2) Complete the table of values and graph y 2x 4. x y 0 3 1 0 3) Fill in the blanks with positive or negative. In quadrant II, the x-coordinate of every point is and the y-coordinate is . 4) For 2x 3y 12, a) fi nd the x-intercept. b) fi nd the y-intercept. c) fi nd one other point on the line. d) graph the line. 5) Graph x 4. 6) Determine the midpoint of the line segment with endpoints (2, 1) and (10, 6). 7) Find the slope of the line containing the points a) (8, 5) and (4, 14) b) (9, 2) and (3, 2) 8) Graph the line containing the point (3, 6) with slope 2 5 . 9) Graph the line containing the point (4, 1) with an undefi ned slope. 10) Write the slope-intercept form for the equation of the line with slope 4 and y-intercept (0, 5). Chapter 4: Test www.mhhe.com/messersmith CHAPTER 4 Test 225
messersmith_power_intermediate_algebra_1e_ch4_7_10
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