document.write( "Question 546154: Graph the rational function: r(x)=3x^2-12/x^2 \n" ); document.write( "
Algebra.Com's Answer #359289 by lwsshak3(11628)\"\" \"About 
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Graph the rational function: r(x)=3x^2-12/x^2
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\n" ); document.write( "Horizontal Asymptote:lead coefficient of numerator divided by lead coefficient of denominator=3/1=3
\n" ); document.write( "Horizontal Asymptote: y=3
\n" ); document.write( "..
\n" ); document.write( "Vertical Asymptote: set denominator=0, then solve for x
\n" ); document.write( "x^2=0
\n" ); document.write( "x=0
\n" ); document.write( "Vertical asymptote=0
\n" ); document.write( "..
\n" ); document.write( "y-intercept: set x=0, then solve for y
\n" ); document.write( "y-intercept: none
\n" ); document.write( "..
\n" ); document.write( "x-intercept: set y=0, then solve for x
\n" ); document.write( "3x^2-12=0
\n" ); document.write( "3x^2=12
\n" ); document.write( "x^2=12/3=4
\n" ); document.write( "x=2 and x=-2
\n" ); document.write( "..
\n" ); document.write( "see graph below as a visual check above:
\n" ); document.write( "\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C%283x%5E2-12%29%2F%28x%5E2%29%29+\"
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