The set of ordered pairs represents a function. write a rule that represents the function. (0,0), (1,3), (2,24), (3,81), (4,192)

y = 3x^3 is the rule representing the function.

Step-by-step explanation:

There are 4 points given.

​(0​,0​), ​(1​,3​), ​(2​,24​), ​(3​,81​), ​(4​,192​)

We are asked to find the function or rule connecting x and y

On seeing the pair, first let us find y/x

We observe that y is a multiple of 3. Let us find the values of y/3

y/3 = 0,  1,  4,   9,   16

     = 0^2,1^2,3^2,4^2,

i.e. y/3 is the square of x.

Hence relation is y = 3x^2

i would need to see the dot plot : )