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 :

Similarities :

Each graph has as the vertical asymptote  and the origin as the intercept.

Each graph is made up of two pieces.

Differences :

The pieces(especially the upper piece) get "narrower" as the degree of the numerator increases.

Similarities :

Each graph has as the vertical asymptote  and the origin as the intercept.

Each graph is made up of two pieces.

Differences :

The pieces(especially the upper piece) get "narrower" as the degree of the numerator increases.