Question

What are some examples of functions with asymptotes?

Answer 1

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.