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Course: General Mathematics — Second Secondary
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Curriculum

General Mathematics — Second Secondary

Text lesson

Even and Odd Functions

General Mathematics — Second Secondary

Even and Odd Functions

Rules for combining even and odd functions

Rules for combining even and odd functions

  1. If f and h are both defined on a symmetric domain
  2. then:
Operation Result
Even + even Even
Odd + odd Odd
Even × even Even
Odd × odd Even
Even × odd Odd
  1. For example
  2. if f is even and h is odd
  3. then (f × h)(−x) = f(−x) × h(−x) = f(x) × (−h(x)) = −(f × h)(x). So the product is odd.
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