'Parity' of Functions

Algebra Level 2

We all know that by parity of integers,

 odd number + odd number = even number   . \text{ odd number + odd number = even number } \; .

Then  odd function + odd function \text{ odd function + odd function } is always an __________\text{\_\_\_\_\_\_\_\_\_\_} .

Clarification: The function in question is for RR\mathbb R \to \mathbb R.

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