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Would the function x4 plus 1 over x3 minus 2x be even or odd and how would you solve it?
Hunterwalraven2578
For a function to be even, f(x)=f(-x) for all x
For a function to be odd: -f(x) = f(-x) for all x
Applying this to your formula,
assume that the function is even. Then for x = 2
2^4 + 1/2^3 - 2(2) = (-2)^4 + 1/(-2)^3 - 2(-2)
simply this cannot be true and therefore it is not even. This approach should be done using x and -x in the place of a number but a number indicates the result clearly and will prove it false. To prove a function. You would need to ensure that the statement holds for all x
Similarly for odd a similar process is taken.
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