Please do Problem #2 but sketch the graph of it following directions for Problem #1

In each problem below, sketch the graph of a single function f(x) that satisfies all of the following conditions. Find critical numbers for f (x) and f (x) and show sign charts for both functions. Indicate the intervals where f (x) is increasing, decreasing, concave up and concave down. Label all local maxima, local minima, and inflection points. Show asymptotes using dashed lines. Prob. # 1 (i) f(x) is defined for all real numbers (ii) f' (x) = e-xx2(x -2) (iii) f"(x) = -e-xx(x - 1)(x -4) (iv) f(0) = 0 (v) lim f(x) = 2 (vi) lim f(x) = 00 MAT 2010 HHW # 10 NAME: Prob # 2 i. f' (x) = ( x+ 2)(x - 1) ii. f" ( x ) = (4-x) x2 iii. f(1) = 0 iv. f(-2) = 4 v. lim f (x) = 00 vi. lim f(x) = -co vi. lim, f (x) vi. lim f(x) = -00