Answer:
The range is all real numbers greater than or equal to -8
Explanation:
we have
![g\left(x\right)=\left|x-6\right|-8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ouxf8gdt0711018s9djh561ekow2otig94.png)
The vertex of the function is the point (6,-8)
see the attached figure to better understand the problem
we know that
The domain of the function is the interval ------> (-∞,∞)
All real numbers
The range of the function is the interval ------> [-8,∞)
![y\geq -8](https://img.qammunity.org/2020/formulas/mathematics/middle-school/20jc95tl6ksizb1katqonix7q192976zhv.png)
All real numbers greater than or equal to -8