1. For each of the following functions use the appropriate techniques to sketch a graph. Please show all of your work. A. f(x) = x - 8x + 7 [13] B. f (x) = 3x-1 x+1 [11] C. g(x) = X [16] x -4x+4 2. Determine the constants a,b,c and d so that the curve defined by y = ax + bx + cx + d has a local maximum at the point (4,2) and a point of inflection at the origin. [8]