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)\"\" \"About 
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what points would i choose to graph the rational function
\n" ); document.write( "(4x^2/x^2-9)
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\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.
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