Question

State a function rule for the number of dots in each figure

Answer 1

Answer:

$g(x)=x^{2}$

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:

$1^{2} =1$

$2^{2} =4$

$3^{2} =9$

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