To graph the function using a table of values. The function is:
[tex]f(x)=\sqrt[]{x}[/tex]
Since the root is even, because it is a square root, there is no Real values for
[tex]x<0[/tex]
This already indicates that the probable correct alternative is C, however let's make the table to make sure.
The best way is to get x values that will easily get was f(x) values. Let's pick x = 0, x = 1 and x = 4:
[tex]\begin{gathered} f(0)=\sqrt[]{0}=0 \\ f(1)=\sqrt[]{1}=1 \\ f(4)=\sqrt[]{4}=2 \end{gathered}[/tex]
So, the points (0,0), (1,1) and (4,2) should be in the line. This exclude alternatives A, B and D. In C we can see these points:
So, the graph of the given function is the one showed in option C
