Greetings from Brasil...
Here we have a piecewise function, because for each interval there is a specific function.
Looking at the graph and remembering the concepts of constant function and linear function, we can conclude that:
a:
F(X) = - 2
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b:
F: {2} → {- 1}
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c:
F(X) = 2X - 8
.......................................................
Then we conclude that
F(- 2) = - 2
need to check the attachment
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The function F(X) in question is not continuous at X =2
Piecewise Function
Sometimes a function may not be defined uniformly throughout its domain. It may be defined in two or more ways as its domain is split into two or more parts.