In Exercises, sketch the graph of a single function that has all of the properties listed.

(a) Continuous and differentiable for all real numbers

(b) f'(x) > 0 on (-∞, -3) and (1, 4)

(c) f'(x) < 0 on (-3, 1) and (4,00)

(d) f"(x) < 0 on (-∞, -1) and (2, ∞)

(e) f"(x) > 0 on (-1,2)

(f) _ƒ'(−3) = f'(4) = 0

(g) f"(x) = 0 at (-1, 3) and (2, 4)