Label all intercepts and asymptotes: y^2= x^3-4/3x

[Math Tutor]

label all intercepts and asymptotes:
[tex]y^2= x^3-4/3x[/tex]



thanks in advance as you help me with these problems.
Lazarus Mgbelu

[adamsmith]

Given y=√[(x^3-4)/(3x)]
y-intercept y=0
then (0,0)
x-intercept (2^(2/3),(-2)^(2/3),(-(-1)^3/2*2^(2/3))
vertical asymptotic 3x=0
x=0
oblique asymptotic (x^3-4)/(3x)=x/√3