Question

Sketch the graph of a function f(x) that satisfies all of the conditions listed below. Be...

Sketch the graph of a function f(x) that satisfies all of the conditions listed below. Be sure to clearly label the axes.

f(x) is continuous and differentiable on its entire domain, which is (−5,∞)

limx→-5^+ f(x)=∞

  • limx→∞f(x)=0limx→∞f(x)=0
  • f(−2)=−4,f′(−2)=0f(−2)=−4,f′(−2)=0
  • f′′(x)>0f″(x)>0 for −5<x<1−5<x<1
  • f′′(x)<0f″(x)<0 for x>1x>1
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