"Build Your Own" Neural Network

OK. Let's try "building" our own artificial neural network. It's fine that you probably have no idea what a neural network even is. Just answer the questions below, and we'll discuss in a moment.
If I give you 2 and 3 as inputs, what mathematical function will produce 0.2 and 0.3 as outputs?
If I give you 0 and 3 as inputs, what mathematical function will produce 0.1 and 0.9 as outputs?
What makes the mark I drew above represent the number 9?
What makes the mark I drew above represent the number 1?
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