Question

Please help!

Answer 1

The leftmost line segment has a domain of -4 ≤ x < -1, or [-4, 1).

The central line segment has a domain of -1 ≤ x ≤ 2, or [-1, 2].

The rightmost line segment has a domain of 2 < x ≤ 5, or (2, 5].

Overall, this function has a domain of

[-4, 1) U [-1, 2] U (2, 5]

(where U means "union" in the set-theoretic notion)

But this also simplifies to the interval [-4, 5].

These correspond to the first and last choices.