Question

How do i find the asymptotes?
y=x+3/x+2

Answer 1

https://www.desmos.com/calculator

Answer 2

vertical asymptote = make the denominator = 0

Answer 3

horizontal asymptote = set x to infinity and see what the equation comes to

Answer 4

you have both a horizontal and vertical asymptote so there will be no slant asymptote

Answer 5

As it is written, "y=x+3/x+2", you have a vertical asymptote at x = 0 and an oblique asymptote at y = x + 2.

If you recall your Order of Operations, and write y = (x+3)/(x+2), that is quite a different problem.

Answer 6

There will be a x and a y asymptote. They will both be drawn using dashed lines.