I'll give brainliest.

See attachment for the graph of the piecewise function
The piecewise function is given as:
f(x) = -3x - 2 if x < -2
= 4 if -2 <= x < 0
= -(x - 2)^2 if 0 <= x < 3
= |x - 4| if x >= 3
Next, we plot each sub function with their domain
i.e.
See attachment for the graph of the function
Read more about piecewise functions at
https://brainly.com/question/18499561
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