Even & Odd Functions

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Last updated 1:21 AM on 9/18/26
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4 Terms

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Even Functions

  • symmetric to the y-axis

  • for every value of x, f(-x) = f(x)


2
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Odd Functions

  • symmetric to the origin

  • for every value of x, f(-x) = -f(x)


3
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Steps for determining even, odd, or neither algebraically

  1. replace x with -x → f(-x)

  2. simplify

  3. draw a conclusion (if f(-x) = f(x0, then it is an even function) (if f(-x) = -f(x), then it is an odd function


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