Respuesta :

The range of the given function is from -2 to infinity.

{y | y >- –2}

The range would be the all y values greater than or equal to -2,

{y|y ≥ –2}.

Range of the function

The range of the given function is calculated as follows;

g(x) = |x - 12| - 2

The vertex form of an absolute function is given by y = a|x - h| + k, where (h, k) is the vertex.

From the given function, the vertex would be (12,-2).

Since the function has vertex of (12,-2),  hence, it would not be take any values which are less than -2.

Thus, the range would be the all y values greater than or equal to -2,

{y|y ≥ –2}.

Learn more about range of functions here: https://brainly.com/question/10197594

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