# Algebra Examples

Determine if Odd, Even, or Neither
Determine if the function is even.
To check if a function is even, substitute in for and see if the resulting function is the same as the original. In other words, .
Remove parentheses around .
The function is not even because the resulting function (after substituting in ) is not the same as the original.
is not even
is not even
Determine if the function is odd.
To check if the function is odd, substitute in for and check if the resulting function is the opposite of original function. In other words, determine if .
Remove parentheses around .
The function is not odd because does not product the opposite function of . In other words, .
is not odd
is not odd
Since and , the function is not even and not odd.
The function is neither even nor odd

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