Answer:
The range of function is [tex]R= \left \{ y|y\geq -2 \right \}[/tex]
Step-by-step explanation:
Given : Function [tex]g(x) = |x -12| -2[/tex]
To find : What is the range of the function?
Solution :
The range is defined as the set of y values for which function is defined.
We have given function [tex]g(x) = |x -12| -2[/tex] in the vertex form.
The general vertex form is [tex]y=a|x-h|+k[/tex] where (h,k) are the vertex of the equation.
On comparing the vertex of the given function is (h,k)=(12,-2)
i.e. The y-values taken is less than -2.
So, the range would be the all y values greater than or equal to -2.
Therefore, The range of function is [tex]R= \left \{ y|y\geq -2 \right \}[/tex]
Refer the attached figure below of the function.
