Question

Which radical function has a domain of open bracket x is an element of real numbers such that x is less than or equal to negative 3 close bracket and range of open bracket y is an element of real numbers such that y is greater than or equal to 4 close bracket question mark

y equals negative square root of the quantity x plus 3 end quantity minus 4
y equals negative square root of the quantity x minus 3 end quantity plus 4
y equals square root of the quantity negative x plus 3 end quantity minus 4
y equals square root of the quantity negative x minus 3 end quantity plus 4

Answer 1

The radical function that has a domain of (x ∈ R such that x <= -3) and range of (y ∈ R such that y >= 4) is y = √(-x - 3) + 4.

The domain of this function is (x ∈ R such that x <= -3) because the inside of the square root must be non-negative, and x + 3 is negative when x <= -3. The range of this function is (y ∈ R such that y >= 4) because the square root of a non-negative number plus 4 is always greater than or equal to 4.