What is the range of the function y=square root x+5?

all non-negative real numbers, [0, ∞)

Step-by-step explanation:

Replacing x in the parent function √x with (x+5) shifts the graph horizontally, but has no effect on the vertical extent of the graph. It still ranges from 0 to + ∞.

The range of √ (x+5) is [0, ∞).