What is the domain and range of $y =- sqrt(1 - x)$ ?

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Answer 1 · 2018-04-20T17:58:05

$:. D_f : x<=1$

$R_f : y<=0$

The term inside the Square root must be non-negative for the
function to be defined so ;

Domain of function is $D_f$ :

$D_f : 1-x >=0$

$:. D_f : x<=1$

Since the function attains all the negative values and also $0$ .

$:.$ the range of function is thus $R_f : y<=0$

The graph of the function is given below :-

GeoGebra Classic App

What is the domain and range of y =- sqrt(1 - x)y =- sqrt(1 - x)?