Definitions · A function f is even if f(−x)=f(x), for all x in the domain of f. · A function f is odd if f(−x)=−f(x), for all x in the domain of f. |
Note: A function can be neither even nor odd if it does not exhibit either symmetry. For example, f(x)=2x f ( x ) = 2 x is neither even nor odd. Also, the only ... |
To identify if a function is even or odd, we plug in -x in place of x into the function f(x), that is, we check the output value of f(-x) to determine the type ... |
If each term in the new version is the opposite of the corresponding term of the original, the function is odd. If they're the same, then it's even. If neither ... Testing the Function... · Testing the Function Graphically |
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