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

(a) Continuous and differentiable everywhere except at x = -3, where it has a vertical asymptote

(b) A horizontal asymptote at y = 1

(c) An x-intercept at x = -2

(d) A y-intercept at y = 4

(e) f'(x) > 0 on the intervals (-∞, -3) and (-3,2)

(f) f'(x) < 0 on the interval (2, ∞)

(g) f"(x) > 0 on the intervals (-∞, -3) and (4, ∞)

(h) f"(x) < 0 on the interval (-3, 4)

(i) f'(2) = 0

(j) An inflection point at (4,3)