Algebra Examples

$f (x, y) = 4$

Step 1

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation:

$(- \infty, \infty)$

Set-Builder Notation:

${x | x \in ℝ}$

Step 2

$y = 4$ is a straight line perpendicular to the $y$ -axis, which means that the range is a set of one value ${y | y = 4}$ .

Set-Builder Notation:

${y | y = 4}$

Step 3

Determine the domain and range.

Domain: $(- \infty, \infty), {x | x \in ℝ}$

Range: ${y | y = 4}$

Step 4