The functions are , , and .

Draw a coordinate plane.

Graph the function .

Graph :

.

Draw a coordinate plane.

Graph the function .

Graph :

.

Draw a coordinate plane.

Graph the function .

Graph :

.

Draw a coordinate plane.

Graph the function .

Graph :

.

Observe the above four graphs :

is not a vertical asymptote because each numerator is a factor of , which cancels with the denominator.

 Each graph has a hole at . 

The function .

For and , .

So, the value of , for is not an integer.

So, each function is undefined for means each graph has a hole at .

No.

Each function is a quotient of polynomials, but it is not written in lowest terms.

Each function is undefined for .

Each graph has a hole at .