#47 fully and correctly

158 Chapter 2 Polynomial and Rational Functions A Rational Function with a Slant Asymptote In Exercises 47-54, sketch the graph of the rational function by hand. As sketching aids, check for intercepts, vertical asymptotes, and slant asymptotes. 212 + 1 1 - x2 47. f(x) = 48. 8(x) = 49. f ( x) = 50. f ( x ) = 6- 12 x2 - 1 51. 8(x) = 272 - 8 52. f ( x ) = x2 + 4 a a 53. f( x) = 13 + 2x2 + 4 3- x3 54. f ( x ) = e 212 + 1 4x2 + 4 the x-Intercepts In Exercises 55-58, use 6 tional