$\"\"$

(a).

The rational functions are

$\"\"$ .

Find the zeros and undefined parts :

Consider the rational function $\"\"$ .

Consider the numerator $\"\"$ .

The zeros of $\"\"$ ocurrs when the numerator $\"\"$ is equal to $\"\"$ .

$\"\"$

Therefore $\"\"$ is a zero of $\"\"$ .

Consider the denominator $\"\"$ .

The undefined point occurs when the denominator $\"\"$ is equal to $\"\"$ .

$\"\"$

Therefore $\"\"$ is undefined at $\"\"$ .

$\"\"$

Consider the rational function $\"\"$ .

Consider the numerator $\"\"$ .

The zeros of $\"\"$ ocurrs when the numerator $\"\"$ is equal to $\"\"$ .

$\"\"$

Therefore $\"\"$ is a zero of $\"\"$ .

Consider the denominator $\"\"$ .

The undefined point occurs when the denominator $\"\"$ is equal to $\"\"$ .

$\"\"$

Therefore $\"\"$ is undefined at $\"\"$ .

$\"\"$

Consider the rational function $\"\"$ .

Consider the numerator $\"\"$ .

The zeros of $\"\"$ ocurrs when the numerator $\"\"$ is equal to $\"\"$ .

$\"\"$

Therefore $\"\"$ is a zero of $\"\"$ .

Consider the denominator $\"\"$ .

The undefined point occurs when the denominator $\"\"$ is equal to $\"\"$ .

$\"\"$

Therefore $\"\"$ is undefined at $\"\"$ .

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

Function	Zeros	Undefined Points
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

$\"\"$

(b).

The rational function is $\"\"$ .

Graph :

Draw the coordinate plane.

Graph the function $\"\"$ .

$\"\"$

Observe the garph :

$\"\"$ has zero at $\"\"$ .

$\"\"$ is undefined at $\"\"$ .

The rational function is $\"\"$ .

Graph :

Draw the coordinate plane.

Graph the function $\"\"$ .

$\"\"$ \ \

Observe the garph :

$\"\"$ has zero at $\"\"$ .

$\"\"$ is undefined at $\"\"$ .

$\"\"$

The rational function is $\"\"$ .

Graph :

Draw the coordinate plane.

Graph the function $\"\"$ .

$\"\"$

Observe the garph :

$\"\"$ has zero at $\"\"$ .

$\"\"$ is undefined at $\"\"$ .

$\"\"$

(c).

Consider $\"\"$ .

$\"\"$ has zero at $\"\"$ .

$\"\"$ is undefined at $\"\"$ .

Draw a sign chart by using the value $\"\"$ .

$\"\"$ \ \

Consider $\"\"$ .

$\"\"$ has zero at $\"\"$ .

$\"\"$ is undefined at $\"\"$ .

Draw a sign chart by using the value $\"\"$ .

$\"\"$

Consider $\"\"$ .

$\"\"$ has zero at $\"\"$ .

$\"\"$ is undefined at $\"\"$ .

Draw a sign chart by using the value $\"\"$ .

$\"\"$ \ \

$\"\"$

(d).

The solution of $\"\"$ :

$\"\"$ on $\"\"$ .

The solution of $\"\"$ .

$\"\"$ on $\"\"$ .

The solution of $\"\"$ .

$\"\"$ on $\"\"$ .

$\"\"$

(a).

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

Function	Zeros	Undefined Points
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$
$\"\"$	$\"\"$	$\"\"$

(b).

Graph of the function $\"\"$ .

$\"\"$

Graph of the function $\"\"$ .

$\"\"$ \ \

Graph of the function $\"\"$ .

$\"\"$

(c).

Sign chart of $\"\"$ .

$\"\"$ \ \

Sign chart of $\"\"$ .

$\"\"$

Sign chart of $\"\"$ .

$\"\"$ \ \

(d).

The solution of $\"\"$ : $\"\"$ on $\"\"$ .