Algebra Examples

$f (x) = {\begin{cases} - x + 3 & x < 1 \\ 3 x - 1 & x \geq 1 \end{cases}$

Step 1

The range is the set of all valid $y$ values. Use the graph to find the range.

$(2, \infty)$

Step 2

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