Algebra Examples

$f (x) = {\begin{cases} - x^{2} + 8 & x < 0 \\ - 3 x + 7 & 0 \leq x < 4 \\ \sqrt{x - 4} + 1 & 4 \leq x \end{cases}$

Step 1

Graph.

$f (x) = {\begin{cases} - x^{2} + 8 & x < 0 \\ - 3 x + 7 & 0 \leq x < 4 \\ \sqrt{x - 4} + 1 & 4 \leq x \end{cases}$

Step 2