Sketch the graph of a function f(x) that satisfies the stated conditions. Mark any inflection points by writing IP on your graph. [Note: There is more than one possible answer.]
a. f is continuous everywhere and differentiable everywhere except at x = 0.
b. f (0) = 3
c. f ‘(x) > 0 on (-∞, -2) and (0, 2)
d. f ‘(x) < 0 on (-2, 0) and (2, ∞)
e. f “(x) < 0 on (-∞, 0) and (0, ∞)
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