Trigonometry Examples

$f (x) = \frac{1}{3} x^{3} - 2 x^{2} + 3 x + 1$

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, $\frac{1}{3} x^{3} - 2 x^{2} + 3 x + 1$ is continuous over all real numbers.

Continuous

Step 3