document.write( "Question 602779: what points would i choose to graph the rational function (4x^2/x^2-9) \n" ); document.write( "
Algebra.Com's Answer #380406 by lwsshak3(11628) ![]() You can put this solution on YOUR website! what points would i choose to graph the rational function \n" ); document.write( "(4x^2/x^2-9) \n" ); document.write( "** \n" ); document.write( "Horizontal asymptote: \n" ); document.write( "Since degree of numerator and denominator the same, divide lead coefficient of numerator by lead coefficient of denominator=4/1=4 \n" ); document.write( "Horizontal asymptote: y=4 \n" ); document.write( ".. \n" ); document.write( "vertical asymptotes: \n" ); document.write( "set denominator=0, then solve for x \n" ); document.write( "x^2-9=0 \n" ); document.write( "(x+3)(x-3)=0 \n" ); document.write( "x=3 \n" ); document.write( "and \n" ); document.write( "x=-3 \n" ); document.write( "vertical asymptotes: x=3 and x=-3 \n" ); document.write( ".. \n" ); document.write( "y-intercept \n" ); document.write( "set x=0, then solve for y \n" ); document.write( "y=0 \n" ); document.write( ".. \n" ); document.write( "x-intercepts \n" ); document.write( "set y=0, then solve for x \n" ); document.write( "0=4x^2 \n" ); document.write( "x=0 (multi. 2) \n" ); document.write( ".. \n" ); document.write( "number line: \n" ); document.write( "<...+...-3...-....0....-.....3..+....> \n" ); document.write( "You now have the information you need to graph given rational function. \n" ); document.write( " |