?Sketch the graph of an example of a function f that satisfies all of the given

Chapter 2, Problem 9

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QUESTION:

Sketch the graph of an example of a function f that satisfies all of the given conditions.

\(f(0)=0, \lim _{x \rightarrow 1} f(x)=-\infty, \lim _{x \rightarrow \infty} f(x)=-\infty\), f is odd

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QUESTION:

Sketch the graph of an example of a function f that satisfies all of the given conditions.

\(f(0)=0, \lim _{x \rightarrow 1} f(x)=-\infty, \lim _{x \rightarrow \infty} f(x)=-\infty\), f is odd

ANSWER:

Step 1 of 2

Consider the consitions as,

\(f\left( 0 \right) = 0\)

\(\mathop {\lim }\limits_{x \to 1} f\left( x \right) =  - \infty \)

\(\mathop {\lim }\limits_{x \to \infty } f\left( x \right) =  - \infty \)

\(f\;{\rm{is}}\;{\rm{odd}}{\rm{.}}\)

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