You can put this solution on YOUR website! Graph the rational function: r(x)=3x^2-12/x^2
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Horizontal Asymptote:lead coefficient of numerator divided by lead coefficient of denominator=3/1=3
Horizontal Asymptote: y=3
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Vertical Asymptote: set denominator=0, then solve for x
x^2=0
x=0
Vertical asymptote=0
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y-intercept: set x=0, then solve for y
y-intercept: none
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x-intercept: set y=0, then solve for x
3x^2-12=0
3x^2=12
x^2=12/3=4
x=2 and x=-2
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see graph below as a visual check above:
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