Question

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

Answer 1

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

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

Answer 2

y = x²

Explanation:

y = x × x

y = x²

1 = 1²

4 = 2²

9 = 3²