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18 May, 14:26

Determine if the given functions are even, odd or neither. f (x) = - 2x2 - 7 and g (x) = 2x2 + 3

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  1. 18 May, 15:35
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    It's odd.

    Explanation:

    A function is odd when f (-x) = - f (x)

    f (-x) = 6 (-x) 3 - 2 (-x)

    =-6 x3 + 2x

    = - (6 x3 - 2x)

    = - f (x)

    Thus, the function is odd.

    If a function is odd, then it is symmetric over the x-axis.
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