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3 August, 11:27

Which characteristic is correct for the function f (x) = 4x^5+8x+2

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  1. 3 August, 11:41
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    neither even not odd

    Step-by-step explanation:

    A function is odd if and only if y=f (x) is the same as y=-f (-x). Also a function is said to be even if and only if y=f (x) is the same as y=f (-x).

    given our function f (x) = 4x^5+8x+2

    -f (-x) = - (4 (-x) ^5+8 (-x) + 2)

    =4x^5+8x-2

    also,

    f (-x) = 4 (-x) ^5+8 (-x) + 2

    =-4x^5-8x+2

    from the above we see that f (x) ≠ - f (-x) and also f (x) ≠ f (-x). We therefore conclude that the function is neither even not odd
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