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 :-

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