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