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Steps for Determining if a Function is Even or Odd. Step 1: Substitute {eq}-x {/eq} for {eq}x {/eq} in {eq}f(x) {/eq}. Step 2: Compare the result from step 1 with {eq}f(x) {/eq}.

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Odd Function: A function is odd if f ( − x) = − f ( x) for all values of x that belong to the domain of the function. For example, the function f ( x) = x 3 is odd, since: f ( − x) = ( − x) 3 = − x 3 = − f ( x)

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How to Determine an Odd Function Important Tips to Remember: If ever you arrive at a different function after evaluating \color {red}–x –x into the given

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