How do you find the vertical, horizontal or slant asymptotes for #f(x) = 3(1/x)#?

1 Answer
A. S. Adikesavan
Mar 5, 2016

Asymptotes: y = 0 and x = 0.

Explanation:

x y = #c^2# represents a rectangular hyperbola .
The axis is y = x.
the asymptotes are the axes of coordinates.
The two branches are in the 1st and 3rd quadrants.
Here, c = #sqrt3#
Vertices are #(sqrt3, sqrt3) and (-sqrt3, -sqrt3)#
The eccentricity of a rectangular hyperbola is #sqrt2#.
The foci are #(sqrt6, sqrt6) and(-sqrt6, -sqrt6)#(

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