SOLUTION: r(x)=3x^2+4/x^2-4 find: VA HA x-int y-int

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: r(x)=3x^2+4/x^2-4 find: VA HA x-int y-int      Log On


   

Question 854750: r(x)=3x^2+4/x^2-4
find: VA HA x-int y-int
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Vertical Asymptotes : When the denominator equals zero,
x%5E2-4=0
%28x-2%29%28x%2B2%29=0
x=2
and
x=-2
Horizontal asymptotes:
lim%28x-%3E+infinity%2C+%283%2B4%2Fx%5E2%29%2F%281-4%2Fx%5E2%29%29=3%2F1=3
y=3
X-intercept: x when r(x)=0
3x%5E2%2B4=0
There is no x-intercept.
Y-intercept: y when x=0.
r%280%29=%283%280%29%2B4%29%2F%280%5E2-4%29
r%280%29=4%2F%28-4%29=-1
.
.
.