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`.

1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -7 1 2 3 4 -1 -2 s g(s)
Domain: All `s <= 3`
Range:
All `g(s) >= 0`

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