9514 1404 393
Answer:
- [-4, -1)
- [-1, 1)
- [1, 5]
Step-by-step explanation:
The numbers that describe the domain of the piece are the x-value at the left end and the x-value at the right end of each piece.
Piece 1 is defined between x=-4 and x=-1, so the interval is [-4, -1).
Piece 2 is defined between x=-1 and x=1, so the interval is [-1, 1).
Piece 3 is defined between x=1 and x=5, so the interval is [1, 5].
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<em>Additional comment</em>
The rounded bracket at the right end of the domain interval means the point is not included. The square bracket means the point is included. In general, you only want each x-value to have one corresponding f(x) definition, so it is usually not appropriate to include it as part of two different pieces of the piecewise function. [-4, -1) means -4 ≤ x < -1.
