The definition of the piecewise function is given as follows:
A piecewise function is a function that has different definitions, depending on the input.
Researching this problem on the internet, for x equal or greater than -3 and less than -1, the function is a line with a slope of 1 that goes through (-3,0), hence the definition is found as follows:
y = x + b
0 = -3 + b
b = 3
Then:
[tex]f(x) = x + 3, -3 \leq x < 1[/tex].
For x between -1 and 1, inclusive, the function is constant at 5, hence the definition is:
[tex]f(x) = 5, -1 \leq x \leq 1[/tex].
More can be learned about piecewise functions at https://brainly.com/question/27262465
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