# Draw(by hand) the decision boundary of an neural network

I am doing an exam preparation and came across this question from previous exams: I cant wrap my head around how to set up the corresponding equations given the thresholds.. (x1 + x2) + (x1 - x2) + (-x1 + x2) but then we have the thresholds... can someone help my thoughtprocess on how to tackle this?

Note that i dont want the drawing, just an systematic way on how to tackle this so i understand the thoughtprocess.

another similar problem but now with an bias(what i assume the value attached to the "pass through" node is): • How much do you want shown? // For the second unit e.g., you've already identified the linear part as $x_1-x_2$; the threshold means you should consider the inequality $x_1-x_2>-1$. I think I would forget the inequality for a moment and just plot the line $x_1-x_2=-1$. Doing the same for the other two, you have three lines in the plane, dividing it into 6 (could've been a different number) regions. In each of those regions, jot down the value of the three hidden units (+-1) using the inequalities we forgot for a moment, plug those into the final unit, and apply the threshold to find $y$. Oct 20, 2022 at 19:37