Question

How do you find the domain and range of `y = - sqrt(1 - x)`?

Answer 1

See below.

Explanation:

For real numbers the radicand must be positive or 0.
`(1 - x) >= 0` if `x` `<=`1.

So domain is `{x in RR | x <= 1}`

Range is `{y in RR | y<= 0 }`

or in interval notation:

`(-oo , 1 ]`

`(-oo , 0 ]`