Give the domain and range of the relation.
-$$y = \sqrt { 6 + x }$$
A) domain: $( - \infty , \infty )$; range: $[ - 6 , \infty )$
B) domain: $[ - 6 , \infty )$; range: $[ 0 , \infty )$
C) domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$
D) domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The square root function $\sqrt{6+x}$ is defined for $6+x \geq 0$, which gives $x \geq -6$, so the domain is $[ - 6 , \infty )$. The square root always yields non-negative results, so the range is $[ 0 , \infty )$.

Give the Domain and Range of the Relation y=6+xy = \sqrt { 6 + x }y=6+x​

Give the Domain and Range of the Relation $y = \sqrt { 6 + x }$