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22 February, 04:45

Determine algebraically whether the function is even, odd, or neither even nor odd.

f (x) = 5x^2 - 2

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  1. 22 February, 08:11
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    The function f (x) is even if:

    f (-x) = f (x)

    f (x) is odd if:

    f (-x) = - f (x)

    Plug in - x into f (x):

    f (-x) = 5 (-x) ^2 - 2

    f (-x) = 5x^2 - 2

    We got back our original f (x) by plugging in - x, so f (-x) = f (x), and therefore the function is even.
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