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1 February, 23:47

A function with the domain (2, 3, 4) has a specific range. Determine the function and its range. The function with the domain (2, 3, 4) is ... ?

A: 3x + 2

B: x + 1

And its range is ... ?

C: (2, 6, 8)

D: (8, 11, 14)

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Answers (1)
  1. 2 February, 03:10
    0
    The function with the domain {2, 3, 4} is the function y = 3x + 2, making the answer equal to A.

    y = 3x + 2

    y = 3 (2) + 2

    y = 6 + 2

    y = 8

    y = 3x + 2

    y = 3 (3) + 2

    y = 9 + 2

    y = 11

    y = 3x + 2

    y = 3 (4) + 2

    y = 12 + 2

    y = 14

    I notice that the range of the function y = 3x + 2 is {8, 11, 14}, making the answer equal to D.
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