Precalculus Examples

$f (x) = {\begin{cases} 1 - {(x - 1)}^{2}, x \leq 2 \\ \sqrt{x - 2}, x > 2 \end{cases}$

Step 1

Graph.

$f (x) = {\begin{cases} 1 - {(x - 1)}^{2} & x \leq 2 \\ \sqrt{x - 2} & x > 2 \end{cases}$

Step 2