Even and odd functions

Determine if the following functions are even or odd:

  1. $f (x) = 1$

  2. $f (x) = x$

  3. $f (x) = x^2$

  1. The function is pair.

  2. Let's see that the function is odd:

$$f (x) =-f (-x)$$

$$x = - (-x)$$

  1. Let's verify that the function is pair:

$$f (x) = f (-x)$$

$$x^2=(-x)^2=x^2$$

  1. Even.

  2. Odd.

  3. Even.

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