Answer:
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.
