Sketch the graph of a function that is: a) Differentiable on (-5,1) and (1,5) and not...

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Sketch the graph of a function that is: a) Differentiable on (-5,1) and (1,5) and not differentiable at 5. b) f'(x) <0 on (-5,1) c) f"(x)=0 on (-5,1), f"(x)>0 on (1,3), f"(x)<0 on (3,5) d) f is continuous at x=1 e) f(-4)=3, f(-1)=-2 f) Prove that f has one and only one zero on the interval (-5,1). Sketch the graph of a function that is: a) Differentiable on (-5,1) and (1,5) and not differentiable at 5. b) f'(x) <0 on (-5,1) c) f"(x)=0 on (-5,1), f"(x)>0 on (1,3), f"(x)<0 on (3,5) d) f is continuous at x=1 e) f(-4)=3, f(-1)=-2 f) Prove that f has one and only one zero on the interval (-5,1).

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