Question

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

Answer 1

Domain`in(-∞,1]`
Range `in(-∞,0]`

Explanation:

For the domain part, clearly the part inside the square root must be positive or zero that is
`1-x >=0`
`x>=1`
So domain `in( -∞, 1]`
Clearly as the value of x approaches -∞ that of y also approaches -∞
And if x=1, y=0
Therefore domain`in(-∞,1]`
Range `in(-∞,0]`

Hope it helps!!