The piecewise function is .

.

(a)

All possible values of for which the function is mathematically correct is the domain of a function.

The domain set is .

Domain in interval notation .

(b)

Find the intercepts.

Find the -intercept by substituting .

If then the function is .

Substitute in above function.

.

If then the function is . 

Substitute in above function.

.

The -intercept is .

Find the -intercept by substituting .

The functions   and are not defined at .

There are no intercepts.

(c)

Draw the table of different values of for .

	\ \	\ \
	\ \	\ \
	\ \	\ \

	\ \	\ \
	\ \	\ \

 Graph:

1). Draw a coordinate plane.

2). Plot the points found in the table and connect the plotted points.

(d)

All possible values of is range of a function.

Observe the graph: The range of function is .

The range in interval notation .

(e)

The function is discontinous at .

(a) Domain in interval notation .

(b) No Intercepts.

(c) Graph of the function :

(d) The range in interval notation .

(e) The function is discontinous at .