Sketch a graph of a function, f, that has the following properties: • lim f(x) = 3 and lim f(x) = -3 x→∞

Question

Sketch a graph of a function, f, that has the following properties:
• lim f(x) = 3 and lim f(x) = -3
   x→∞                     x→∞
f>0 and f"> 0 on (-∞,-5)
• lim_ f(x) = ∞
 x→∞
• f'<0 and f"> 0 on (-5,0) and (5,∞)
• f is continuous at x=0.
• f is NOT differentiable at x = 0
f(0) = 5
f has a limit that exists at z = 5 but is not continuous at = 5

Kunduz · Accepted Answer

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