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

Question

1172 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-08-30T17:07:14

See below.

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:

$(-oo , 1 ]$

$(-oo , 0 ]$

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