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
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;