Slant Asymptote

Identify all the vertical asymptotes of the function:

$$f\left(x\right)=\frac{x^2+2x-8}{x^2+x-12}$$  

Evaluate the limit as $$x\rightarrow3^-$$  of f(x) below:

$$f\left(x\right)=\frac{x^2+2x-8}{x^2+x-12}$$  

Evaluate the limit as $$x\rightarrow3^+$$  of f(x) below:

$$f\left(x\right)=\frac{x^2+2x-8}{x^2+x-12}$$  

Identify the vertical asymptotes:

$$f\left(x\right)=\frac{x^3+2x^2-24x}{x^2-x}$$   

Identify the horizontal asymptote of the function f(x):

$$f\left(x\right)=\frac{x^2-1}{x^2-x-2}$$  

Identify the horizontal asymptote of the function f(x):

$$f\left(x\right)=\frac{x+2}{\sqrt[]{9x^2+1}}$$  

Identify the horizontal asymptote of the function f(x):

$$f\left(x\right)=\frac{x^2+2}{x^3+x^2-1}$$   

What type of asymptote(s) does this function have?

$$f\left(x\right)=\frac{x^2-6x+7}{x+5}$$  

What type of asymptote(s) does this function have?

  $$f\left(x\right)=\frac{2x^2-4x+8}{3x^2-27}$$  

What type of asymptote(s) does this function have?

   $$f\left(x\right)=\frac{x^3-2x^2+5}{x^2}$$