document.write( "Question 143972: Let R(x)=x^3-2x^2-7/x^2+1. What kind(s) of asymptotes does R(x) possess?\r
\n" ); document.write( "\n" ); document.write( "a. A single horizontal asymptote
\n" ); document.write( "b. A slant asymptote and a horizontal asymptote
\n" ); document.write( "c. A single slant asymptote
\n" ); document.write( "d. R(x) has no asymptotes
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Algebra.Com's Answer #104776 by nabla(475)\"\" \"About 
You can put this solution on YOUR website!
The degree of the numerator is greater than the degree of the denominator. Thus there will be 1 slant asymptote.
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\n" ); document.write( "\n" ); document.write( "We can see this, moreover, in the graph:\r
\n" ); document.write( "\n" ); document.write( "\"graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C+%28x%5E3-2x%5E2-7%29%2F%28x%5E2%2B1%29+%29\"
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