What is the range of the function g(x) = |X – 12|– 2?
o {yly >-2}
o {yly 2-2
o {yly > 12
O {yly> 12}

answer:

Step-by-step explanation:

It is an absolute value function which has a v- shaped graph.

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

Comparing the given equation with this, we have

h = 12

k = -2

Hence, the vertex would be (12,-2).

Now, the range of the function is the set of y values for which the function is defined.

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

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

Hence, range is given by