Find the domain and range of the function.
-$g ( z ) = 2 - \sqrt { z }$
A) D: $( - \infty , 0 ] , R : [ 2 , \infty )$
B) D: $( - \infty , \infty )$, R: $( - \infty , 2 ]$
C) D: $( - \infty , 2 ]$, R: $( - \infty , \infty )$
D) D: $[ 0 , \infty ) , R : ( - \infty , 2 ]$

Question

Quizplus · Accepted Answer

The domain of $g(z) = 2 - \sqrt{z}$ is $[0, \infty)$ because the square root function is defined for non-negative numbers. The range is $(-\infty, 2]$ because as $z$ increases, $\sqrt{z}$ increases, making $2 - \sqrt{z}$ decrease.

Find the Domain and Range of the Function g(z)=2−zg ( z ) = 2 - \sqrt { z }g(z)=2−z​

Find the Domain and Range of the Function $g ( z ) = 2 - \sqrt { z }$