# An algebra problem by Anandmay Patel

Algebra Level 3

Find all functions $$f: \mathbb{R} \rightarrow \mathbb{R}$$ that satisfy: $f(x+y)^2=f(x)^2+f(y)^2$ Then the function is a $$\text{ _________}$$ function.

Bonus: Investigate some properties of the function

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