How do you determine if #f(x)=8x^6 + 12x^2# is an even or odd function?
2 Answers
It's an even function.
Explanation:
One of the easy ways to determine weather a function is even or odd is to look at the powers of
Also remember that a function can be neither odd or even function, such as;
Verify
Explanation:
So
For polynomial functions, there is a quick shortcut:
If all of the terms have even degree then the function is even. Remember that a constant term is of degree
If all of the terms have odd degree, then the function is odd.
If the terms are a mixture of odd and even degrees then the function is neither even nor odd.