Calculus Examples

$f (x) = \frac{4 x^{2} + 2 x - 6}{2}$

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

Since the domain is all real numbers, $\frac{4 x^{2} + 2 x - 6}{2}$ is continuous over all real numbers.

Continuous

Step 3