The function

g(s)=sqrt(3-s)

is not defined for real numbers greater than 3, which would result in imaginary values for g(s).

Hence, the domain for g(s) is "all real numbers, s ≤ 3".

Also, by definition,

g(s)=sqrt(3-s) >= 0

Hence, the range of g(s) is "all real numbers g(s) ≥ 0"

We can see in the graph that s takes no values greater than 3, and that the range is greater than or equal to 0.

Domain: All s <= 3
Range:
All g(s) >= 0

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