The piecewise function is $\"\"$ .

Consider $\"\"$ .

$\"\"$

(a)

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

The domain set of $\"\"$ is $\"\"$ .

Domain in interval notation $\"\"$ .

(b)

Find the intercepts.

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

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

Substitute $\"\"$ in $\"\"$ .

$\"\"$

The value of $\"\"$ which is not to be considered because $\"\"$ .

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

Substitute $\"\"$ in $\"\"$ .

$\"\"$

The value of $\"\"$ which is not to be considered because $\"\"$ .

There is no $\"\"$ -intercepts.

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

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

Substitute $\"\"$ in $\"\"$ .

$\"\"$

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

(a) Domain in interval notation $\"\"$ .

(b) The intercept is $\"\"$ .

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

$\"\"$

(d) Range in interval notation $\"\"$ .

(e) The function is discontinous at $\"\"$ .