Answer: combine, control, and route audio signals from inputs to outputs
Explanation:
A audio mixer is refered to as the sound mixer or the mixing console and it's an electronic device that's used for mixing, and combining several audio signals and sounds.
The input to the console is the microphone. The audio mixer can also be used in controlling digital or analog signals. These are then summed up in producing output signals.
Therefore, the function of the audio mixer is to combine, control, and route audio signals from inputs to outputs.
[B], developing the art style guide and production plan.
It wouldn't be [A], because patches are released to consumers of the game, to fix bugs and add new content, which won't be done until post-production.
It wouldn't be [C] either, as it is also post-production, because you are sending the game to produced, packaged and shipped, meaning the game has already been pretty much fully developed.