Find the domain and range of the function.
-$f ( x ) = - 4 + \sqrt { x }$
A) D: $( - \infty , \infty )$, R: $[ - 4 , \infty )$
B) D: $[ 0 , \infty )$, R: $[ - 4 , \infty )$
C) D: $[ 0 , \infty )$, R: $( - \infty , \infty )$
D) D: $( - \infty , 0 ] , R : ( - \infty , - 4 ]$

Question

Quizplus · Accepted Answer

The square root function is defined only for non-negative values. Therefore, the domain of the function is all non-negative real numbers or [0, ∞). 
For any value of x, the expression √x is non-negative. Therefore, the range of the function is all values greater than or equal to –4, or [–4, ∞).

Find the Domain and Range of the Function f(x)=−4+xf ( x ) = - 4 + \sqrt { x }f(x)=−4+x​

Find the Domain and Range of the Function $f ( x ) = - 4 + \sqrt { x }$