Question :

A friend runs up to you and excitedly explains that she has found that she has found a function g with the following properties: g is continuous on [0,1] and differentiable on (0,1) g(0)=1 and g(1)=5 g'(x) is less than or equal to 3 for all x in (0,1) Explain why you doubt your friend's claim.

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