What is the domain and range of $y= sqrt(x- 2)$ ?

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Answer 1 · 2018-07-02T15:15:19

domain: $x>=2$
range: $y>=0$

(True for $RR$ ):

domain are the " $x$ "es of yours function:
$x-2>=0 => x>=2$

range are the " $y$ "s:
for $x_0=2$ , $y=sqrt(2-2)=0$
for $x>=x_0$ , $y>=0$

What is the domain and range of y= sqrt(x- 2)y= sqrt(x- 2)?