document.write( "Question 706221: Write a rational function with no vertical asymptote and no holes. \n" ); document.write( "

Algebra.Com's Answer #435024 by KMST(5328) $\"\"$ $\"About$

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$\"f%28x%29=%28x%5E3%2B2x%5E2-8x%29%2F%28x%5E2%2B1%29\"$ The denominator $\"x%5E2%2B1\"$ is never zero, so there are no vertical asymptotes and no holes.
\n" ); document.write( "(You need zeros in the denominator for those).
\n" ); document.write( "The graph is shown in red below.
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\n" ); document.write( "It has a slanted asymptote (shown in green) because
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\n" ); document.write( "and $\"abs%28%289x%2B2%29%2F%28x%5E2%2B1%29%29\"$ gets smaller and smaller as $\"x%5E2\"$ grows larger and larger. \n" ); document.write( "

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