Math  asymptotes
posted by Jared on .
Identify all asymptotes.
1. y= 1 / 2√x^2  3x
the asymptotes I got were:
vertical: 1 & 4
horizontal: 0
Is this it or are there more?
2. y= x^32x / x^2 + 1
I believe there are no asymptotes? Is this correct?

You have vertical asymptotes when the denominator is zero
your values of x=1 and x=4 do not result in a zero denominator.
I have a feeling that your function is
y = 1/(2  √(x^23x))
in that case the denominator is zero when x = 4 or x = 1
so your vertical asymptotes are
x = 4 and x = 1
(your horizontal is y = 0)
2. Again, I think your meant your function to b
y = (x^3  2x)/(x^2 + 1)
Please confirm 
yes, those are what i meant..sorry about the notation

PLease don't switch names.
for y = (x^3  2x)/(x^2 + 1)
there is no vertical or horizontal asymptote.
but when you divide it you get
y = x  3x/(x^2+1)
so there is a "slanted" asymptote of y = x 
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