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for piecewise functions do I connect all the functions?

f(x): 2+x
x less than or equal to -3

f(x): x^2
-3 less than x less than 1

f(x): 6
1 less than or equal to x

I graphed this but I don't know where to connect the lines between f(x):2+x and f(x): x^2 because at (-1,1) f(x):2+x goes through the graph of f(x):x^2. But, shouldn't I connect the point at (-3,9)(this is the start of f(x):x^2 or at (-1,1)

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