Answer:
The 4th graph
Step-by-step explanation:
To determine which graph corresponds to the [tex]f(x) = \sqrt{x}[/tex] we will start with inserting some values for x and see what y values we will obtain and then compare it with graphs.
[tex]f(1) = \sqrt{1} = 1\\f(2) = \sqrt{2} \approx 1.41\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3[/tex]
So, we can see that the pairs (1, 1), (2, 1.41), (4, 2), (3, 9) correspond to the fourth graph.
Do not be confused with the third graph - you can see that on the third graph there are also negative y values, which cannot be the case with the [tex]f(x) =\sqrt{x}[/tex], the range of that function is [tex][0, \infty>[/tex], so there are only positive y values for [tex]f(x) = \sqrt{x}[/tex]
