$\"\"$

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$\"\"$ Find the domain and range of the function :

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Domain of the function is all possible values of $\"\"$ .

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Observe the graph of the function:

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The function is defined at all possible values of $\"\"$ except $\"\"$ .

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Thus, the domain is $\"\"$ .

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Range of the function is all possible values of $\"\"$ .

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Observe the graph of the function.

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Range of the function is all real numbers.

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$\"\"$

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$\"\"$ Find intercepts, if any :

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Observe the graph of the function.

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The $\"\"$ -intercepts are $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$ Find horizontal asymptotes, if any :

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The line $\"\"$ is a horizontal asymptote of the function $\"\"$ if $\"\"$ approaches $\"\"$ as $\"\"$ approaches $\"\"$ .

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Observe the graph of the function.

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There is no horizontal asymptote.

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$\"\"$

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$\"\"$ Find vertical asymptotes, if any :

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The line $\"\"$ is a vertical asymptote of the function $\"\"$ if $\"\"$ approaches $\"\"$ as $\"\"$ approaches $\"\"$ from the right or left.

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Observe the graph of the function.

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The vertical asympote is $\"\"$ .

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$\"\"$

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$\"\"$ Find oblique asymptotes, if any :

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When a linear asymptote is not parallel to the $\"\"$ - or $\"\"$ -axis, it is called an oblique asymptote (or) slant asymptote.

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Observe the graph of the function.

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The oblique asympote is $\"\"$ .

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$\"\"$

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$\"\"$

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Domian : $\"\"$ .

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Range of the function is all real numbers.

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$\"\"$ The $\"\"$ -intercepts are $\"\"$ and $\"\"$ .

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$\"\"$ No horizontal asymptote.

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$\"\"$ The vertical asympote is $\"\"$ .

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$\"\"$ The oblique asympote is $\"\"$ .