SOLUTION: R(x)= (x-1)/(x^2-4) find the vertical asymptote is it horizontal or oblique point of intersection x intercepts y intercepts

Question 549696: R(x)= (x-1)/(x^2-4)
find the vertical asymptote
is it horizontal or oblique
point of intersection
x intercepts
y intercepts
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
R(x)= (x-1)/(x^2-4)
find the vertical asymptote
is it horizontal or oblique
point of intersection
x intercepts
y intercepts
**
Vertical asymptote:
set denominator=0, then solve for x
x^2-4=0
(x+2)(x-2)=0
x=-2 and 2
Vertical asymptotes: at x=2 and x=-2
..
Horizontal asymptotes:
When degree of numerator is less than degree of denominator, as in this case, the x-axis or y=0 becomes the horizontal asymptote
..
x-intercept:
set y=0, then solve for x
numerator=0
x-1=0
x=1
..
y-intercept
set x=0, then solve for y
f(0)=(x-1)/(x^2-4)=-1/-4
y-intercept=1/4
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