What function is shown by the graph below?

The function  is shown by the graph below ⇒ 2nd answer

Step-by-step explanation:

To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph

From the figure:

The curve passes through points (-2 , 0) and (2 , 2)

∵  

∵ x = -2

- Substitute x by -2

∴

∴ ⇒ it is impossible no square root for (-) number

∴ is not the function shown by the graph

∵  

∵ x = -2

- Substitute x by -2

∴

∴

∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2

∵ x = 2

- Substitute x by 2

∴

∴

∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2

∴ The function is shown by the graph below

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