# f(xy) = f(x) * f(y)

Algebra Level 3

$$f: \mathbb{R} \rightarrow \mathbb{R}$$ is a function that satisfies the following 2 conditions:

1) $$f(xy) = f(x)\cdot f(y)$$ for all values of $$x, y$$

2) $$f(0) \neq 0$$.

What is the value of $$f(2)$$?

Details and assumptions

Read Functions - Definitions and Terminology if you do not know what $$f: \mathbb{R} \rightarrow \mathbb{R}$$ means.

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