Question

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

Answer 1

`g(x)=x^(2)`

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.