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

Chapter 2, Problem 6

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QUESTION:

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

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

\(\lim _{x \rightarrow-\infty} f(x)=-2, \lim _{x \rightarrow-\infty} f(x)=-2\)

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QUESTION:

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

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

\(\lim _{x \rightarrow-\infty} f(x)=-2, \lim _{x \rightarrow-\infty} f(x)=-2\)

ANSWER:

Step 1 of 4

 is a point on the graph.

 vertical asymptote going upwards from the left,

 vertical asymptote going downwards from right,

 horizontal asymptote going right,

 horizontal asymptote going left,

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