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12 November, 07:20

The function f (x) = - 6x+11 has a range given by {-37,-25,-13,-1}. Select the domain values of the function from the list 1,2,3,4,5,6,7,8. explain how you arrived at your answer

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  1. 12 November, 07:40
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    The range is {-37,-25,-13,-1}. So you need to figure out what four numbers from this list of numbers (1,2,3,4,5,6,7,8), when applied to this

    function, (f (x) = - 6x+11), equals these numbers that are in the range {-37,-25,-13,-1}.

    So you apply each of these numbers (1,2,3,4,5,6,7,8) into the function (f (x) = - 6x+11)

    one by one.

    f (1) = - 6 (1) + 11=5

    f (2) = - 6 (2) + 11 = - 1

    f (3) = - 6 (3) + 11 = - 7

    f (4) = - 6 (4) + 11 = - 13

    f (5) = - 6 (5) + 11 = - 19

    f (6) = - 6 (6) + 11 = - 25

    f (7) = - 6 (7) + 11 = - 31

    f (8) = - 6 (8) + 11 = - 37

    As you can see, f (2), f (4), f (6), and f (8) equal the numbers that are in the range {-37,-25,-13,-1}.
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