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

(a) Continuous everywhere except at x = -4, where there is a vertical asymptote

(b) A y-intercept at y = -2

(c) x-intercepts at x = -3, 1, and 4

(d) f'(x) < 0 on (-∞, −5), (-4, −1), and (2, ∞)

(e) f'(x) > 0 on (-5, -4) and (-1,2)

(f) f"(x) > 0 on (-∞, -4) and (-4,-3)

(g) f"(x) < 0 on (−3,−1) and (-1, ∞)

(h) Differentiable everywhere except at x = -4 and x = -1