Definition: Even Function

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Even & Odd Functions Depending on a functions symmetry, it may be classified as even, or as odd. Depending on a functions symmetry, it may be classified.

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Presentation transcript:

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

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:

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. x -4 -3 -2 -1 1 2 3 4 y 17 10 5 When the input values are opposites and the output values are opposites the function is odd. x -4 -3 -2 -1 1 2 3 4 y -8 -6 6 8 This function is neither even or odd. x -4 -3 -2 -1 1 2 3 4 y -5