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# Why did I get the range wrong in this piecewise function question? What does it mean that my union contains overlapping intervals? ?

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- AmyLv 71 month ago
Forget the original graph for a moment. What would your answer of (-4, 3]U(0, 4] look like on a 1-dimensional number line?

-5 . . -4***-3***-2***-1***0***1***2***3***4 . . 5

The two pieces overlap.

A much better description of this range is (-4, 4]

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- ted sLv 71 month ago
your answer is CORRECT...unions are allowed to overlap....a shorter way to answer is ( - 4 , 4 ].....this is the trouble with using computer generated queries...it is impossible to have all valid answers in the computer...you could have ( - 4 , 0 ] U [-3,1] U [ -2 , 2) U ( 1 , 2] U [ 1 , 3 ] U [2 , 4 ] which would also be valid for the range

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- Iggy RockoLv 71 month ago
The overlap is (0,3). (-4, 3] and (0, 4] both include (0, 3). The right answer is (-4, 4].

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