determine the domain of each piece. domain of piece 1: domain of piece 2: domain of piece 3: done

Answer:

Domain of piece 1: $[-3, - 1]$ Domain of piece 2: $[-1,1]$ Domain of piece 3: $[1,4]$

Explanation:

Step1: Identify piece 1 endpoints

Left - most $x=-3$, right - most $x = - 1$

Step2: Identify piece 2 endpoints

Left - most $x=-1$, right - most $x = 1$

Step3: Identify piece 3 endpoints

Left - most $x=1$, right - most $x = 4$