Answer: The correct option is option 3.
Explanation:
In a graph x-axis represents the domain and y-axis represents the range of the function.
From the given graph it is noticed that the function is defined for the value [tex]x\geq -4[/tex]. It means the domain of the function is [tex]x\geq -4[/tex].
So, the option 2nd and 4th are incorrect.
From the figure it is noticed that the value of the function is 0 at x = -4.
The value of the first function at x = -4 is -2, therefore 1st option is incorrect.
The standard equation of the given graph is [tex]\sqrt[3]{x}[/tex], since the graph is shifted 4 units left along the x-axis, therefore the equation of the given graph is [tex]\sqrt[3]{x+4}[/tex]
So, the correct option is option 3.