Where is there a hole on the graph of the function?

Does this function have any vertical asymptotes? If so, what are their equations? $y=\frac{\left(x+3\right)\left(x-4\right)\left(x+7\right)}{\left(x-4\right)}$   

Find the vertical asymptote(s).

State the vertical asymptote: 

What is the x-value of the hole? $g\left(x\right)=\frac{\left(x-2\right)\left(x+6\right)}{\left(x+2\right)\left(x-2\right)}$  

 $f\left(x\right)=\frac{\left(x+7\right)\left(x-3\right)\left(x+1\right)}{\left(x-3\right)\left(x-5\right)}$  

Select all of the true statements.

 $h\left(x\right)=\frac{x\left(x-3\right)\left(x-6\right)\left(x+5\right)}{3x\left(x+3\right)\left(x-6\right)\left(x+7\right)}$  

Identify the vertical asymptote(s).

 $h\left(x\right)=\frac{x\left(x-3\right)\left(x-6\right)\left(x+3\right)}{3x\left(x+3\right)\left(x-6\right)\left(x+7\right)}$  

Identify the x-value of the hole(s).

The equation of a vertical asymptote is written in the form:

Which of the following functions has a hole at (1,4)?

 $f\left(x\right)=\frac{6x+24}{-4x+4}$  Find the intercepts and asymptotes of the rational function

What's the horizontal asymptote of the function?

Select ALL the information that applies to the given rational function. $f\left(x\right)=\frac{x^2-x}{-4x+16}$