Question

Which is the graph of f(x) = StartRoot x EndRoot?

Answer 1

Answer:

The 4th graph

Step-by-step explanation:

To determine which graph corresponds to the f(x) = \sqrt{x}f(x)=

x

we will start with inserting some values for x and see what y values we will obtain and then compare it with graphs.

$$\begin{lgathered}f(1) = \sqrt{1} = 1\\f(2) = \sqrt{2} \approx 1.41\\f(4) = \sqrt{4} = 2\\f(9) = \sqrt{9} = 3\end{lgathered}$$

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 $$f(x) =\sqrt{x}$$ , the range of that function is $$[0, \infty>$$ , so there are only positive y values for $$f(x) = \sqrt{x}$$

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