How to Determine if a Function is Even or Odd

To determine if a function is even or odd, follow these simple steps:

Step-by-Step Guide

1. Even Function Test: Replace (f(x)) with (f(-x)). If (f(-x)=f(x)), the function is even. [Example: (f(x)=x^2)]
2. Odd Function Test: Replace (f(x)) with (f(-x)). If (f(-x)=-f(x)), the function is odd. [Example: (f(x)=x^3)]
3. Neither Even nor Odd: If the function fails both tests, it is neither even nor odd. Verify by inspecting the symmetry around the y-axis for even, and origin for odd functions.

For more mathematical insights, visit Math is Fun.