Question

What rule will represent the function, (0,0), (1,1), (2,4), (3,9), (4,16)

Answer 1

Answer:

y = x²

Step-by-step explanation:

y = x × x

y = x²

1 = 1²

4 = 2²

9 = 3²

Answer 2

Answer:

a(n) = (n-1)^2

Step-by-step explanation:

Notice that each of the y-values {0, 1, 4, 9, 16, ... } is a perfect square.  Thus,

the rule is a(n) = (n-1)^2.

Check:  if n = 0, is (n-1)^2 = 0?  yes

             if n = 3, is (3-1)^2 = 4?  yes