Part 1 - Exploration 30 Let f (x) = 3-x 1+2 a. Use tables and graphs to find lim f(x) and lim f(x) x -+ 00 x - - 00 b. Identify any horizontal asymptotes c. What is the y-intercept? d. How is the numerator of the fraction for f related to part b? e. Sketch the graph.Graph Table X 10 15 20 30 Y 29. 4927 29.9998 - 10-10-3 10 20 30 40 50 X -) - to 1- 10 -15 - 20 - 30 y 10 0366 b. horizontal Asymptote of f ( x ) = 30 1+23- x * > lim 30 X -0 1+23- 7 30 1 +3- x 30. lim 30 Him 30 . 30 57 305 = 130 4 : 30 0 f (o ) : - 30 30 30 30 1 423 1+ 7 3 O , 10 d. The numerator for f is 30 and the horizontal Asymptote is 30 e. See above by a