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Question: How to determine the summation of two piecewise functions?

Question:How to determine the summation of two piecewise functions?

Katatonia 65 Maple
piecewise plotting
November 29 2021
1

I have two functions U1 and U2 which are both piecewise functions. I want to determine the function representing the summation or subtraction of these two functions, that is, U=U1-U2 or U=U1+U2.

alpha := 0.01;
                         alpha := 0.01
U1 := piecewise((1 - alpha)*lambda[1] - lambda[2] <= 0, 0, 0 < (1 - alpha)*lambda[1] - lambda[2], 5)
U2 := piecewise(-(1 + alpha)*lambda[1] + lambda[2] <= 0, 0, 0 < -(1 + alpha)*lambda[1] + lambda[2], 5)

Suppose we have U=U1-U2. I am wondering how to draw regions defined by function U and also how to label them.
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