Algebra Examples

$f (x) = {\begin{cases} - 2 x - 7 & x < - 5 \\ - {(x + 2)}^{2} + 6 & - 5 \leq x < 0 \\ \sqrt{x} - 1 & x \geq 0 \end{cases}$

Step 1

Graph.

$f (x) = {\begin{cases} - 2 x - 7 & x < - 5 \\ - {(x + 2)}^{2} + 6 & - 5 \leq x < 0 \\ \sqrt{x} - 1 & x \geq 0 \end{cases}$

Step 2