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

1 Answer
Mar 5, 2016

Asymptotes: y = 0 and x = 0.

Explanation:

x y = c^2c2 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 = sqrt33
Vertices are (sqrt3, sqrt3) and (-sqrt3, -sqrt3)(3,3)and(3,3)
The eccentricity of a rectangular hyperbola is sqrt22.
The foci are (sqrt6, sqrt6) and(-sqrt6, -sqrt6)(6,6)and(6,6)(