The piecewise function is

(a)

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

The domain of is all real numbers.

(b)

Find the intercepts.

Find the -intercept by substituting .

If then the function is .

Substiute in above function.

The value of which is not to be considered because .

If then the function is .

Substiute in above function.

The value of which is not to be considered because .

There is no -intercept.

Find the -intercept by substituting .

If then the function is

substitute in above function.

The -intercept is .

(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

3). Label the intercept 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 continuous.

(a) The domain of is all real numbers.

(b) The intercept is .

(c) Graph of the function

(d) The range in interval notation .

(e) The function is continuous.