432 CHAPTER 3 Polynomial and Rational Functions 11. Use end behavior to determine which graph is that of ƒ1x2 = -x7 + x - 4. A. −10 −10 10 10 B. −10 −10 10 10 C. −10 −10 10 10 D. −10 −10 10 10 Graph each rational function. 16. ƒ1x2 = 3x - 1 x - 2 17. ƒ1x2 = x2 - 1 x2 - 9 18. Consider the rational function ƒ1x2 = 2x2 + x - 6 x - 1 . (a) Determine the equation of the oblique asymptote. (b) Determine the x-intercepts. (c) Determine the y-intercept. (d) Determine the equation of the vertical asymptote. (e) Sketch the graph. Solve each inequality. Give the solution set in interval notation. 19. 1x + 52214x + 321x - 42 … 0 20. 4 x + 3 Ú 2 x Solve each problem. 21. If y varies directly as the square root of x, and y = 12 when x = 4, find y when x = 100. 22. Weight on and above Earth The weight w of an object varies inversely as the square of the distance d between the object and the center of Earth. If a man weighs 90 kg on the surface of Earth, how much would he weigh 800 km above the surface? (Hint: The radius of Earth is about 6400 km.) Graph each polynomial function. 12. ƒ1x2 = x3 - 5x2 + 3x + 9 13. ƒ1x2 = 2x21x - 222 14. ƒ1x2 = -x3 - 4x2 + 11x + 30 15. Connecting Graphs with Equations Find a cubic polynomial function ƒ having the graph shown. x y 0 (0, 24) 2 10 –3
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