Algebra Examples

$f (x) = {\begin{cases} - x^{2} - 1, x < 0 \\ x^{2} + 1, x \geq 0 \end{cases}$

Step 1

Graph.

$f (x) = {\begin{cases} - x^{2} - 1 & x < 0 \\ x^{2} + 1 & x \geq 0 \end{cases}$

Step 2

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$