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 $\"\"$ .

Substitute $\"\"$ in above function.

$\"\"$

If $\"\"$ then the function is $\"\"$ .

Substitute $\"\"$ in above function.

$\"\"$

The $\"\"$ -intercepts are $\"\"$ .

Find the $\"\"$ -intercept by substituting $\"\"$ .

The function $\"\"$ is not defined at $\"\"$ .

The function $\"\"$ is defined at $\"\"$ .

$\"\"$

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) Intercepts are $\"\"$ and $\"\"$ .

(c) Graph of the function $\"\"$ :

$\"\"$

(d) The range of the function in interval notation $\"\"$ .

(e) The function is continuous.