The range is a set of all possible values of y.
The value of |x-8| is always positive or equal to 0, so the value of -|x-8| will always be negative or equal to 0. So, the greatest value of -|x-8| is 0 and the greatest value of -|x-8|+3 is 0+3=3.
The greatest value of y is 3, so the range is
![(-\infty,3]](https://img.qammunity.org/2016/formulas/mathematics/middle-school/cn44cpgdhnv61q23zlv4umsvm9qwowlllx.png)
.