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.