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Let’s call this function Batman. Batman wants to be an even function, so what must Batman look like if he were to be an even function?
Since even funtions are mirror images on the Y axis, we just flipped Batman over, so that f(x)=f(-x)
Batman wants to be an odd function now! He thinks that if he flips himself over the y axis and the x axis that we will become an odd function, by the law f(-x)=-f(x)
Would you look at that! It worked. To check if he is odd, rotate this graph 180 degrees and if it looks the same then it’s an odd function

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How Batman became an even and odd function

  • 1. Let’s call this function Batman. Batman wants to be an even function, so what must Batman look like if he were to be an even function?
  • 2. Since even funtions are mirror images on the Y axis, we just flipped Batman over, so that f(x)=f(-x)
  • 3. Batman wants to be an odd function now! He thinks that if he flips himself over the y axis and the x axis that we will become an odd function, by the law f(-x)=-f(x)
  • 4. Would you look at that! It worked. To check if he is odd, rotate this graph 180 degrees and if it looks the same then it’s an odd function