Sketch the graph of a single function that has all properties listed:
a. Continuous and differentiable on all real numbers, except for a vertical asymptote at x = -3.
b. f'(x) < 0.
c. Horizontal asymptote at y = 1.
d. f''(x) < 0 on (-infinity, -3) and (0, 2).
e. f''(x) > 0 on (-3, 0) and (2, infinity).
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