Use good notation and show all of your work. 1. Graph the function where: (a) Continuous and differentiable for all real numbers (b) f'(x) > 0 on (, 3) U (1, 4) (c) f'(x) < 0 on (3, 1) U (4,) (d) f"(x) < 0 on (-, -1) U (2,0) (e) f"(x)>0 on (-1, 2) (f) f'(-3)= f'(4) = 0 (g) f"(x) = 0 at (-1, 3) and (2,4) 2. Graph the function where: (a) Continuous for all real numbers (b) Differentiable everywhere except at x = 4 (c) f(1) = 5 (d) f'(1) = 0 and f'(3) = 0 (e) f'(x) > 0 on (-00, 1) U (4,) (f) f'(x) < 0 on (1, 3) U (3,4) (g) lim f(x) = - x-4 (h) f"(x)>0 on (2, 3) (i) f"(x) < 0 on (-, 2) U(3, 4) U(4, 0)