Set the denominator in equal to to find where the expression is undefined.

The domain is all values of that make the expression defined.

Interval Notation:

Set-Builder Notation:

Interval Notation:

Set-Builder Notation:

Substitute the value into . In this case, the point is .

Replace the variable with in the expression.

Simplify the result.

The absolute value is the distance between a number and zero. The distance between and is .

Divide by .

The final answer is .

Substitute the value into . In this case, the point is .

Replace the variable with in the expression.

Simplify the result.

Divide by .

The absolute value is the distance between a number and zero. The distance between and is .

The final answer is .

The absolute value can be graphed using the points around the vertex

Graph y=(|x|)/x