Answer:
y [tex]\geq[/tex] -5
Step-by-step explanation:
1. Due to the fact that the function is an absolute function, you know that it takes the shape of a V. [tex]\geq[/tex]
2. The function is not negative, so it points upward. Therefore, the range will be greater than or equal to a value.
3. The "+3" inside of the absolute value sign indicates horizontal shift, so we can disregard that when looking for the range.
4. The "-5" tells us there is a vertical shift 5 units down. Therefore, we can conclude that the range of the function is y [tex]\geq[/tex] -5.