Question 1127528
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The solution by mathlover1 is good, including descriptions of what makes a function even or odd.<br>
For polynomial functions, the work is easier than what she shows.<br>
The names "even function" and "odd function" come from the fact that any monomial function is even if the exponent is even and odd if the exponent is odd.<br>
3 (the constant, exponent 0), x^2, x^4, and x^18 are even functions.  That is easy to see, because replacing x with -x and raising to an even power gives the same result.<br>
x, x^3, x^7, and x^73 are odd functions; again it is easy to see, because replacing x with -x and raising to an odd power gives the opposite result.<br>
Then use the fact that a polynomial function is even or odd if and only if all the terms are either even or odd.<br>
In the given function, the exponents on the variables are 3, 1, and 0.  Since some are even and some are odd, the function is neither even nor odd.