Q:

What is the domain of the square root function graphed below?

Accepted Solution

A:
Answer:The domain of the graph must be [tex]x\ge \:-4[/tex].Therefore, [tex]x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]Hence, option a is true.Step-by-step explanation:From the graph, it is clear that the graph is heading towards positive infinity from x=-4. The point x=-4 is included in the graph as the starting point of the graph i.e. x=4 is showing a closed circle on x=4, and heading towards positive infinity onward.i.e. [-4, ∞)Hence, the domain of the graph must be [tex]x\ge \:-4[/tex].Therefore, [tex]x\ge \:-4\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\ge \:-4\:\\ \:\mathrm{Interval\:Notation:}&\:[-4,\:\infty \:)\end{bmatrix}[/tex]Hence, option a is true.