Answer:
Option 3.
Explanation:
The domain of a function is the complete set of possible values of the independent variable.
The argument of a square root can take negative values, then:
So x+3 must be greater than 0. So x+3> 0 -> x> -3.
Then, the domain of the function is: [-3, +inf)
The range of a function is the complete set of all possible resulting values of the dependent variable after we have substituted the domain.
So in this case, we know that the square root always is going to throw a positive value, but given that the square rooth is multiplied by a minus, the result is always going to be negative.
The least value the square root can take is 0, so in that case, the maximum value the function can take is y = -2.
So the range is (-inf, -2]
So, the correct option is option 3