(a)

The function .

Change to .

For , the function is .

Graph of the function :

.

For , the function is .

Graph of the function :

.

For , the function is .

Graph of the function :

.

For , the function is .

Graph of the function :

.

For , the function is .

Graph of the function :

.

 For , the function is .

Graph of the function :

 .

 (b)

Observe the graphs of the above functions,

Value of	Range

 (c)

For , , range of is .

When is an even number, the range of the function is .

 (d)

For , , range of is .

When is an odd number, the range of the function is  .

(a) Graphs of six functions.

, ,

,,

,.

(b)

Value of	Range

(c) When is even the range of the function is .

(d) When is odd the range of the function is  .