Find the domain and graph the function.
-$F(x)=\sqrt{-x}$

A) D: $( - \infty , 0 ]$
B) D: $( - \infty , \infty )$
C) D: $[ 0 , \infty )$
D) D: $( - \infty , 0 )$

Question

Find the domain and graph the function.
-$F(x)=\sqrt{-x}$

A) D: $( - \infty , 0 ]$ 
B) D: $( - \infty , \infty )$ 
C) D: $[ 0 , \infty )$ 
D) D: $( - \infty , 0 )$

Quizplus · Accepted Answer

The domain of the function must be such that the expression inside the square root is non-negative. Therefore, we must have $-x\geq 0$, which implies that $x\leq 0$. The correct option is thus $(-\infty, 0]$. The graph of the function will be a half of the graph of the square root function flipped about the y-axis, with the vertex at the origin.

Find the Domain and Graph the Function F(x)=−xF(x)=\sqrt{-x}F(x)=−x​ A) D (−∞,0]( - \infty , 0 ](−∞,0]

Find the Domain and Graph the Function $F(x)=\sqrt{-x}$ A) D $( - \infty , 0 ]$