Question

What is the domain and range for `h(x)=-sqrt(x+3)`?

Answer 1

Domain: `[-3, oo)`
Range: `(-oo, 0]`

Explanation:

`h(x)=-sqrt(x+3)`
the domain:
`x+3>=0`
`x>=-3`
in interval form:
`[-3,oo)`
the range:
lowest possible value under the square root sign is zero, thus:
`y<=0`
in the interval form:
`(-oo, 0]`