Question

How do you find the asymptote and graph `y=2/x`?

Answer 1

`y=2/x`
Asymptotes `x=0, y=0`
graph{xy=2[-10, 10, -5, 5]}

Explanation:

`y=2/x`
`xy=2`
`xy-2=0`

Equation has the type of `F_2+F_0=0`
Where `F_2=` terms of power 2
`F_0=` terms of Power 0
Hence by inspection method Asymptotes are `F_2=0`
`xy=0`
`x=0` and `y=0`

To make a graph find Points such that
at x=1, y=2
at x=2, y=1
at x=4, y=1/2
at x=8, y=1/4
....

at x=-1, y=-2
at x=-2, y=-1
at x=-4, y=-1/2
at x=-8, y=-1/4

and so on

and just simply connect the points and you get the graph of function.