Given:
The graph of the function is given.
To find:
The domain and range and check whether it is a function or not.
Explanation:
Using the vertical line test, the vertical line crosses the curve exactly at one point.
So, it is a function.
It is the graph of the square root function.
The parent function is,
[tex]f(x)=\sqrt{x}[/tex]
It is translated 4 units left. So, the function will be,
[tex]g(x)=\sqrt{x+4}[/tex]
As we know, the domain is the set of all possible input values.
So, the domain of the function is,
[tex][-4,\infty)[/tex]
As we know, the range is the set of all possible output values.
So, the range of the function is,
[tex][0,\infty)[/tex]
Final answer:
The domain and range are,
[tex]\begin{gathered} Domain:[-4,\infty) \\ Range:[0,\infty) \end{gathered}[/tex]
Yes, it is a function.
