The ordered pairs (1, 4), (2, 1 6), (3, 6 4), (4, 2 5 6), (5, 1, 0 2 4) (1, 4), (2, 1 6), (3, 6 4), (4, 2 5 6), and (5, 1, 0 2 4) represent a function. What is a rule that represents this function?

The rule is f (x) = 2^ (2x).

Step-by-step explanation:

Note that 4 = 2^2, 16 = 4^2, 64 = 8^2, 256 = 16^2 and 1024 = 32^2

and the first numbers in the ordered pairs are 1, 2,3, 4, 5

compare this with 2, 4, 8, 16, 32.

We see that the rule for this is 2^x where x is the sequence number.

So the rule for the original ordered pairs is (2^x) ^2.

= 2^2x.