1. Consider the Function f(x) = a. b. c d. e f x 1+3:2 Does f(x) have any vertical asymptotes? Simply a yeso will suffice Calculate lim f(x) and lim f(x) xaoo xaoo Hence f(x] has a horizontal asymptote at y = _ Calculate f'(x). The critical points of f(x) are x = . Simply state the x- values. Use the first derivative test to figure out whether the critical points are maxima or minima Can you use all of the above information to draw a rough sketch of the graph function? Make sure to incorporate all of the above computations into your sketch to get full credit. (Even if you end up using a graphing calculator, try and see how the pieces of information you've computed above relate to details about the graph.) PLEASE SKETCH GRAPH OR DRAW PICTURE