The function is .

Consider the first expression for .

Construct a table for different values of , where .

Observe the expression :

for .

Since is not equal to , represent the point with a circle. 

Consider the second expression for .

Construct a table for different values of , where .

Observe the expression :

for .

Since is equal to , represent the point and with a dot.

Consider the second expression for .

Construct a table for different values of , where .

Observe the expression :

for .

Since is not equal to , represent the point with a circle.

Graph:

Graph the function for , for and for .

Represent the point and with a circle.

Represent the point and with a dot.

Observe the graph:

Domain is set of all real numbers .

Range is all real numbers.

Graph of the function is