Give the domain and range of the relation.
-$$y = \sqrt { 4 + x }$$
A) domain: $( - \infty , \infty )$; range: $[ - 4 , \infty )$
B) domain: $[ 0 , \infty )$; range: $( - \infty , \infty )$
C) domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$
D) domain: $[ - 4 , \infty )$; range: $[ 0 , \infty )$

Question

Quizplus · Accepted Answer

The square root function $\sqrt{4+x}$ is defined for $4+x \geq 0$, which gives $x \geq -4$, hence the domain is $[ - 4 , \infty )$. The square root function always yields non-negative values, so the range is $[ 0 , \infty )$.

Give the Domain and Range of the Relation y=4+xy = \sqrt { 4 + x }y=4+x​

Give the Domain and Range of the Relation $y = \sqrt { 4 + x }$