Periodic functions

Determine if the following functions are periodic:

  1. $f (x) = 1$
  2. $f (x) = x$
  3. $f (x) = x^2$
  1. It is a constant function that we can consider to be periodic of period $0$.

  2. It is not periodic.

It is not periodic.

  1. Periodic $(T=0)$
  2. Not periodic
  3. Not periodic
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