SOLUTION: Graph the rational function: r(x)=3x^2-12/x^2

Question 546154: Graph the rational function: r(x)=3x^2-12/x^2
Answer by lwsshak3(11628) (Show Source): 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
..
Vertical Asymptote: set denominator=0, then solve for x
x^2=0
x=0
Vertical asymptote=0
..
y-intercept: set x=0, then solve for y
y-intercept: none
..
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
..
see graph below as a visual check above:

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