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Please help!

What would be the domain of each line?
Answer and explanation please I am so confused :\

Please help! What would be the domain of each line? Answer and explanation please-example-1
User Orionpax
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1 Answer

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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.

User Ykaragol
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