Mathematics: Which is the graph of f(x) = startroot x endroot?

Which is the graph of f(x) = startroot x endroot?

Ответ:

tangia

15.01.2022

The 4th graph

Step-by-step explanation:

To determine which graph corresponds to the $f(x) = \sqrt{x}$ we will start with inserting some values for x and see what y values we will obtain and then compare it with graphs.

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

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 $f(x) = \sqrt{x}$