What are the asymptotes for y=2/x and how do you graph the function?

1 Answer
Pankaj Solanki
Sep 20, 2017

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

Explanation:

y=2/x
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

graph{xy=2 [-10, 10, -5, 5]}

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.

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