The parity of a function is the attribute of being even, odd, or neither. A function is even, if for all x. A function is odd if for all x. A function is neither even nor odd, when it satisfies neither of these options.

In order to find the parity of a function, we must see whether the statements about even and odd functions is true or false.

Steps to find the parity of a function:

- Find
- Find
- See if , , or neither

First example (click here):

Find the parity of

1. Find

2. Find

3. See if , , or neither

is even.

Next example (click here):

Find the parity of

1. Find

2. Find

3. See if , , or neither

is odd.

Last example (click here):

Find the parity of

1. Find

2. Find

3. See if , , or neither

is neither odd nor even.

As you can see, finding the parity of a function is very simple. Just memorize the definitions of even and odd functions and you are good to go! For more help or practice on this topic, check out Symbolab’s Practice.

Until next time,

Leah

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