Problems from Even and odd functions

Determine if the following functions are even or odd:

1) $$f (x) = 1$$

2) $$f (x) = x$$

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

See development and solution

Development:

1) The function is pair.

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

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

$$x = - (-x)$$

3) Let's verify that the function is pair:

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

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

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Solution:

1) Even.

2) Odd.

3) Even.

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