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6 August, 10:49

If the linear function y=-2x+10 has a domain given by [1,4] then which of the followig is its range

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  1. 6 August, 11:55
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    [2,8]

    Step-by-step explanation:

    Well since it's a linear function it's ends will be the extrema, so plugging the domain restrictions that you are given:

    y=-2 (1) + 10

    y=-2+10

    y=8

    and

    y=-2 (4) + 10

    y=-8+10

    y=2

    so since 2 is lower than 8, its the lower range bound, and since both the 1 and the 4 are included in the domain it will be a closed interval:

    [2,8]
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