Naeema F.

asked • 06/13/20

Urgent Help - Calculus Graph

How would a function, f, be sketched with the following properties?


f(-1)=0, f(0)=2. f ‘(x) > 0 on (-∞, -2) ∪ (-2, 3), f ‘(x) < 0 on (3, ∞).

f “(x) > 0 on (-∞, -2) ∪ (0, 3) ∪ (3,∞), f “(x) < 0 on (-2, 0).

lim x→±∞ f(x) = 2, lim x→-2- f(x) = ∞, lim x→-2+ f(x) = -∞, lim x→3- f(x) = ∞, lim x→3+ f(x) = ∞.


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