what is the function rule?

Question

(-3,9) (0,0) (1,1) (5,25)

Answer 1

One thing to notice is that the second coordinate is always the square of the first. Thus, the function is

f(x) = x^2

This means, whenever we plug in the first value for our function, we should get the second. Let's be absolutely sure:

f(-3) = (-3)^2 = 9
f(0) = 0^2 = 0
f(1) = 1^1 = 1
f(5) = 5^2 = 25