Show work and use calc 1 knowledge

. (20 points) Sketch the graph of the function f (x) which satisfies the following conditions. Using interval amion list all intervals where the function f is decreasing, increasing, concave up, and concave down. List the x- coordinates of all local maxima and minima, and points of inflection. Show asymptotes with dashed lines and give their equations. Label all important points on the graph. a. f(x) is defined for all real numbers b. f' (x ) = 2x x-1 c. f" (x) = 2 ( x - 1) 2 d. f(2) = 2 e. lim f(x) = co X-+00 f. lim f (x) = -co X-1