November 14, 2019

Today’s theme is functional equations, that is, equations where the unknown is a function.

Some typical strategies are:

  • Plug in special values: 0, 1, etc.
  • If there are two variables: set them equal to each other, or one to be the negative of the other, etc.
  • Change of variable: from x to -x, or some other transformation suggested by the equation.
  • Take derivatives.

Click here for the worksheet.

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