Question 1051337
How do you show if these equations are odd, even, or neither?

1. f(x)=x^3-8x 
2. f(x)=3x^4-7x+2
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1.  f(x) = x^3 - 8x

    To decide if it is odd, even, or neither, we must to consider f(-x) and compare it with f(x).

    f(-x) = (-x)^3 - 8*(-x).

    It is equal to 

    f(-x) = (-x)^3 - 8*(-x) = -x^3 + 8x = -(x^3 -8).

    What is the very right side expression? It is nothing else as -f(x).

    So, we got f(-x) = -f(x).

    It means that the function f(x) is ODD.


2.  If you do the same with the function "N2", you will get that that this function is neither even nor odd.
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