Algebra Examples

$g (x) = {\begin{cases} \frac{1}{2} x + 3, x < - 2 \\ 2, - 2 \leq x \leq 3 \\ 2 x - 3, x > 3 \end{cases}$

Step 1

Graph.

$g (x) = {\begin{cases} \frac{1}{2} x + 3 & x < - 2 \\ 2 & - 2 \leq x \leq 3 \\ 2 x - 3 & x > 3 \end{cases}$

Step 2