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)![]() ![]() ![]() You can put this solution on YOUR website! Graph the rational function: r(x)=3x^2-12/x^2 \n" ); document.write( "** \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( " |