Calculus Examples

$f (x) = x^{2} + 2 x$ , $0 < x < 6$

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

$f (x)$ is continuous on $(0, 6)$ .

The function is continuous.

Step 3