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What's the best way to solve functions? I can do basic ones, but have trouble with the harder ones.

I'm having trouble with the following:
Inputs x 1, 2, 3, ?
Outputs y 0, 2, 6, ?
I have tried everything and can't come up with the equation. Please help! Also, if you have any tips on how to solve that would be great. Thanks!

  • Functions -

    look for patterns
    Since you have only 3 cases, that gives very little to go by, but

    0 = 0x1
    2 = 1x2
    3 = 2x3

    from the given I would guess at
    f(x) = x(x+1) or x^2 + x

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