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 and differentiable everywhere.
b. f(0) = 4
c. f ‘(x) < 0 on (-∞, -1) and (3, ∞)
d. f ‘(x) > 0 on (-1, 3)
e. f “(x) > 0 on (-∞, 1)
f. f “(x) < 0 on (1, ∞)
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