please do this question and all its parts
8. (4 points eact) Consider the funation fe) (a) Find the domain and all the intercepts. (b) Find all the horizontal and vertical asymptotes. (e) Find the intervals on which f(x) is increasing or decreasing and all the local extrema. (d) Find the intervals on which f(z) is concave up or down and all the inflection points. (e) Without using a calculator, sketch a graph of the function. (Make certain to include all intercepts, asymptotes, local extrema, and inflection points.)