Task $4(10$ points$).$

Note: In this question you should assume that the activation function of a perceptron is the same as for Task $2.$

Is it possible to design a neural network $($which could be a single perceptron or a larger network$),$ that satisfies these specs?

Takes a single input called X$,$ which can be any real number.

If X $<3,$ the network outputs $0.$

If $3<$ X $<7,$ the network outputs $1.$

If X $>7,$ the network outputs $0.$

We don't care what the network outputs when X $=3$ or X $=7.$

If your answer is no$,$ explain why not. If your answer is yes, your solution should include a drawing of the network, that shows all edges connecting outputs of one layer to inputs in the next layer, and that also shows the values of all weights $($including bias weights$)$ of all perceptions.