Question: Is it possible to sketch a graph of a function that satisfies the conditions of Exercise 55 and has no points of inflection? Explain. Data

Is it possible to sketch a graph of a function that satisfies the conditions of Exercise 55 and has no points of inflection? Explain.


Data from in Exercise 55

Sketch a graph of a differentiable function f that satisfies the following conditions and has x = 2 as its only critical number.

f'(x) < 0 for x < 2 f'(x) > 0 for x

 

f'(x) < 0 for x < 2 f'(x) > 0 for x > 2 lim f(x) = 6 x118 lim f(x) = 6 X

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