Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

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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  • Amy
    Lv 7
    1 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 s
    Lv 7
    1 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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  • 1 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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