how do i graph the curve y=X/(X-2)

Question

i know i have to find asymptotes and 1st and 2nd derivatives just not sure how 

Answer 1

To manually graph the equation y = x/(x-2), you need to find the following first:

(1) The vertical asymptote is x = 2;

(2) The horizontal asymptote is y = 1; (From here, you see that as x → + ∞, y → 1; x → - ∞, y → 1.)

(3) Both the x- and y-intercept are (0, 0).

Using these as guideline, you should be able to sketch the graph manually. Hope this help.

Professor Ryan Putra (retired)