The graph of the piecewise function is the first graph (counting from the top).
Which is the graph of the function?
Here we have a piecewise function:
f(x) = 0.5*x - 2 if x ≤ 6
f(x) = -x - 1 if x > 6
So, we have an increasing line for x smaller or equal than 6, and a decreasing line for x > 6. Such that we should to have a closed dot at the end of the increasing line, because in that part we have the symbol ≥, meaning that x = 6 belongs to that part.
Then the correct graph is the first option.
If you want to learn more about piecewise functions:
https://brainly.com/question/3628123
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