Question 58704
y = 2/(x - 3)
y-intercept:
y = 2/(0 - 3) = -2/3
(0,-2/3)
x-intercept:
0 = 2/(x - 3)
0 = 2
None
Asymptotes:
We know we can not divide by zero:
(x - 3) = 0
x = 3 First Asymptote
With these types of equations we get a horizontal asymptote:
Remember, there are no x-intercepts ~> y = 0 Second Asymptote
{{{graph(300,300,-10,10,-10,10,2/(x-3),0)}}}