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I am curious about the dirac delta functions that represent the jumps in the following function.

$$ f(x) = \left\{ \begin{array}{lr} \frac{3}{2} & : x \in (-\infty,-2]\\ 0 & : x \in (-2,-1)\\ \frac{3}{2} & : x \in [-1,0)\\ -\frac{3}{2} & : x \in [0,1]\\ 0 & : x\in(1,\infty) \end{array} \right.$$

Would the jump at $-2$ be represented by $\frac{3}{2}\delta(x+2)$? Would it be positive or negative? In other words, do we see the jump as going down from $\frac{3}{2}$ to $0$ or up from $0$ to $\frac{3}{2}$?

How would we view the jump from $\frac{3}{2}$ to $-\frac{3}{2}$ at $0$?

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