The function is , where , , and are integers .

(a)

When is positive and even.

Choose the values .

Substitute in .

Analyze numerically:

Construct a table that shows the values to investigate the function values as of increases. 

Observe the table:

As tends to , approaches and as tends to , approaches to .

and .

Check graphically:

Graph of :

Observe the graph:

End behavoir of the graph:

and .

 (b)

When is positive and odd.

Choose the values .

Substitute in .

Analyze numerically:

Construct a table that shows the values to investigate the function values as of increases. 

Observe the table:

As tends to , approaches and as tends to , approaches to .

and .

Check graphically:

Graph of :

Observe the graph.

End behavoir of the graph:

and .

 (a) When is positive and even, and .

Graph:

 (b) When is positive and odd, and .

Graph:

.