Find the domain and range of the function $f ( x )$ . $f ( x ) = \sqrt [ 3 ] { x } + 2$
A) $D = ( - \infty , 2 ) ; R = ( - \infty , 2 )$
B) $D = [ 2 , \infty ) ; R = [ - \infty , 2 )$
C) $D = ( 2 , \infty ) ; R = ( 2 , \infty )$
D) $D = [ 1 , \infty ) ; R = [ - \infty , 1 )$
E) $D = ( - \infty , \infty ) ; R = ( - \infty , \infty )$

Question

Quizplus · Accepted Answer

The cube root function, $\sqrt[3]{x}$, is defined for all real numbers, meaning it can take any value from $-\infty$ to $\infty$. Adding 2 to it shifts the graph vertically but does not affect its domain or range. Therefore, the domain and range are both all real numbers, $(-\infty, \infty)$.

Find the Domain and Range of the Function f(x)f ( x )f(x)

Find the Domain and Range of the Function $f ( x )$