Im VERY confused How to do determine if a function is odd ev

I\'m VERY confused. How to do determine if a function is odd, even, or neither? And what the symmetry is?

Examples.
1. f(x) = x^6 - 3x^2 + 3
2. h(x) = x^3 - 5
3. g(x) = x^3 - 5x

Solution

substitute -x inplace of x in the function; if the function turns out to be same , then it is even function; if the function turns out negative of original function, it is odd;
I\'m VERY confused. How to do determine if a function is odd, even, or neither? And what the symmetry is? Examples. 1. f(x) = x^6 - 3x^2 + 3 2. h(x) = x^3 - 5 3

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