What are some examples of functions with asymptotes?

1 Answer
Sep 27, 2014

Example 1: #f(x)=x^2/{(x+2)(x-3)}#

Vertical Asymptotes: #x=-2# and #x=3#
Horizontal Asymptote: #y=1#
Slant Asymptote: None

Example 2: #g(x)=e^x#

Vertical Asymptote: None
Horizontal Asymptote: #y=0#
Slant Asymptote: None

Example 3: #h(x)=x+1/x#

Vertical Asymptote: #x=0#
Horizontal Asymptote: None
Slant Asymptote: #y=x#

I hope that this was helpful.