?Sketch the graph of a function f that satisfies all of the following conditions:The

Chapter 15, Problem 51

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Sketch the graph of a function f that satisfies all of the following conditions:

The domain of f is all real numbers except 0,

$\lim\limits_{{x} \rightarrow {0}}f(x)\ =\ 1$ , $\lim\limits_{{x} \rightarrow {0}}f(x)\ =\ 0$ ,

f’(x) > 0 for all x in the domain of f,

$\lim\limits_{{x} \rightarrow {-∞}}f'(x)\ =\ 0$ , $\lim\limits_{{x} \rightarrow {∞}}f'(x)\ =\ 1$

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