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What is the function of frequency mixer in super heterodyne receiver?

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What is the function of frequency mixer in super heterodyne receiver?

(a) Multiplication of incoming signal and the locally generated carrier

(b) Addition of incoming signal and the locally generated carrier

(c) Amplification

(d) Filtering

The question was asked during a job interview.

My question is from Need of Transducers topic in chapter Receivers & Transducers of Analog Communications

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Correct choice is (a) Multiplication of incoming signal and the locally generated carrier

The best I can explain: The function of a frequency mixer in a super heterodyne receiver is that it mixes or multiplies the incoming modulated signal with the locally generated carrier in order to bring the incoming RF signal to a band of frequencies which can be processed easily.

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