Answer:
The range of function is \(R= \left \{ y|y\geq -2 \right \}\)
Step-by-step explanation:
Given : Function \(g(x) = |x -12| -2\)
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 \(g(x) = |x -12| -2\) in the vertex form.
The general vertex form is \(y=a|x-h|+k\) 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 \(R= \left \{ y|y\geq -2 \right \}\)
Refer the attached figure below of the function.
