f' (x) 0 on (-0, -1), (-1, 1), and (1, co ); vertical asymptotes: x = -1 and x = 1; horizontal asymptote: y = 0 B In Problems 23-62, summarize the pertinent information ob- tained by applying the graphing strategy and sketch the graph of y = f(x). 23. f(x ) = *+ 3 24. f (x ) = 2x - 4 x - 3 *+ 2 25. f(x) = X 2+ x x 2 26. f(x) = 3 -X AST 27. f( x) = 5+ 5e-0.1x 28. f(x) = 3+ 7e-0.2x 29. f(x) = 5xe-0.2x 30. f(x) = 10xe-0.1x 31. f(x) = In(1 - x) 32. f(x) = In(2x + 4) 33. f( x ) = x - Inx 34. f(x) = In(x2+ 4) X 35. f(x ) = x 2 - 4 36. f(x ) = x- - 4 37. f(x): 1+ x 2 38. f(x ) = 1 + x2 2x 2x 39. f(x ) = 40. f(x) = 1 - x 2 x2 - 9 - 5x X 41. f(x) = 42. f(x) = ( x - 1) 2 (x - 2)2 vol er 43. f(x ) = * + x - 2 44. f( x ) = x - 5x - 6 X 2 lob * 2 X - 45. f(x ) = 46. f(x) = moving x - 1 2 + x 3x- + 2 2x- + 5 47. f(x ) = Stixorg 48. f(x) = x 2 - 9 4-x2 49. f(x ) = x - 2 50. f(x ) - 4 -x 51. f(x) = (3 - x) etonut 52. f ( x ) = ( x - 2 ) et 53. f(x ) = e-0.5x2 54. f (x ) = e-2x 55. f (x ) = x Inx 56. f(x ) = In x XFor all problems follow the a-d procedure listed below For each problem find the following: a. Find the x and y intercepts and vertical and horizontal asymptotes. b. Find the critical points and MAKE A CHART to determine on which intervals the function is increasing and decreasing. Then classify each critical point as a relative maximum, relative minimum or neither. Make sure to find the y- coordinate for each relative extrema. c. Use the second derivative to determine the concavity of the graph and also find any points of inflection. Make sure to find the y-coordinate of all inflection points. MAKE A CHART. d. Use information from part a, b and c to sketch a graph of the function. EMPHASIZE CHANGES IN CONCAVITY. Plot the x and y intercepts, any relative maximums or minimums, and all inflection points. Plot extra points so you have enough points to sketch the graph. And indicate the asymptotes with a dotted line and make sure your graph hugs the asymptotes. Plot all points with a description next to them.Intervals (-00, - 1) (-1, 1/2) (1/2, 00) Test Value F"(TV) Sign of f"' (test value) Concave up/Concave down