The function g(x) = |x – 6| – 8 is graphed. What is the range?

Since |x − 6| is always greater than or equal to 0, the smallest value of g(x) = |x − 6| − 8 is 0 − 8 = −8. This minimum occurs at x = 6, so −8 is included in the range, and all larger y-values are possible. The range is {y | y ≥ −8}, choice B.

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