The ordered pairs (0, 0), (1, 0.5), (2, 2), (3, 4.5) and (4, 8) represent a function. what is a rule that represents this function?

The rule that represents function is .

Step-by-step explanation:

Given ordered pairs  (0, 0), (1, 0.5), (2, 2), (3, 4.5) and (4, 8) 0r we can write , , , and .

To find the rule of the function, it is important to find any invariant value for any x-values.

For this case we can see that if we square each value of x and then multiply by , we get the corresponding values of y, i.e,

As you can see above , the rule of function follows above is,

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