The function $f(x)$ satisfies
\[f(xy) = f(x) f(y)\]for all real numbers $x$ and $y.$ Find all possible values of $f(1).$  Enter all the possible values, separated by commas.
Question:
The function $f(x)$ satisfies
\[f(xy) = f(x) f(y)\]for all real numbers $x$ and $y.$ Find all possible values of $f(1).$  Enter all the possible values, separated by commas.
Answer:
Let's think step by step.

user
0,1
The function $f(x)$ satisfies
\[f(xy) = f(x) f(y)\]for all real numbers $x$ and $y.$ Find all possible values of $f(1).$  Enter all the possible values, separated by commas.
train