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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