For the piecewise function, find the values g(-6), g(1), and g(8).

The output values of g(-6), g(1), and g(8) in the given piecewise function are -1, 6 and -6 respectively.
Given the piecewise function in the question;
x + 5, for x ≤ 1
2 - x, for x > 1
Determine the output value of g(-6), -6 falls in the domain of x ≤ 1,
Hence;
g(x) = x + 5
g(-6) = -6 + 5
g(-6) = -1
Determine the output value of g(1), 1 falls in the domain of x ≤ 1,
Hence;
g(x) = x + 5
g(1) = 1 + 5
g(1) = 6
Determine the output value of g(8), 8 falls in the domain of x > 1,
Hence;
g(x) = 2 - x
g(8) = 2 - 8
g(8) = -6
Therefore the output values of g(-6), g(1), and g(8) in the given piecewise function are -1, 6 and -6 respectively.
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