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Definition: Even Function

Definition: Even Function . A function that is symmetric about the y- axis. . Algebraically: If f(x )= f(-x ) the function is even. Definition: Odd Function . A function that is symmetric about the origin. . Algebraically: If f (-x )= -f(x) the function is odd.

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Definition: Even Function

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  1. Definition: Even Function A function that is symmetric about the y- axis. Algebraically: If f(x)= f(-x) the function is even

  2. Definition: Odd Function A function that is symmetric about the origin. Algebraically: If f(-x)= -f(x) the function is odd

  3. How to determine whether a function is even or odd given an equation. If all the exponents are even the function is even. Ex: If all the exponents are odd the function is odd. Ex: Neither even or odd. (mixed exponents) Ex:

  4. How to determine whether a function is even or odd given a table. When the input values are opposites and the output values are the same the function is even. When the input values are opposites and the output values are opposites the function is odd. This function is neither even or odd.

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