Respuesta :

Answer:

[tex]g(x)=x^{2}[/tex]

Step-by-step explanation:

Since we know that a function gives exactly one output for a given input.

We can see that number of points in our diagram are 1,4 and 9.

These numbers represent a quadratic function as:

[tex]1^{2} =1[/tex]

[tex]2^{2} =4[/tex]

[tex]3^{2} =9[/tex]

Therefore, we can represent these points in a function as [tex]g(x)=x^{2}[/tex], where x is number of points.