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12 July, 20:08

What rule will represent the function, (0,0), (1,1), (2,4), (3,9), (4,16)

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Answers (2)
  1. 12 July, 21:20
    0
    a (n) = (n-1) ^2

    Step-by-step explanation:

    Notice that each of the y-values {0, 1, 4, 9, 16, ... } is a perfect square. Thus,

    the rule is a (n) = (n-1) ^2.

    Check: if n = 0, is (n-1) ^2 = 0? yes

    if n = 3, is (3-1) ^2 = 4? yes
  2. 12 July, 22:18
    0
    y = x²

    Step-by-step explanation:

    y = x * x

    y = x²

    1 = 1²

    4 = 2²

    9 = 3²
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