Finite Math Examples

$f (x) {(x^{2 + y^{2} - 1})}^{3} - x^{2} y^{2} = 0$

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:

${f | f \in ℝ}$

Step 2

Since the domain is all real numbers, $f (x) {(x^{2 + y^{2} - 1})}^{3} - x^{2} y^{2}$ is continuous over all real numbers.

Continuous

Step 3