Question

What is a function that gives the coordinates (1, 4), (2, 16), (3, 64), (4, 256)?

Answer 1

if I give you the pattern, you will write the function, okay ?

Answer 2

Well sure. But can you show me how to come up with functions just by being given points as well?

Answer 3

4¹ , 4² , 4³ , 4\(\small\color{bgrey}{ \rm ^4 }\)

Answer 4

\[f(x) = 4^{x}\]

Answer 5

You are freaking awesome!!!

Answer 6

Thanks so much @SolomonZelman. But how did you know?

Answer 7

Well, I don't want to say that it is common sense, because when I say "common sense" to people they think that I am calling them stupid (even though I am not).. well, but that is what it is, it is common sense, just figured out :)