Write a rule for the function:

x - 2, - 1, 0, 1, 2

y 1/3, 1, 3, 9, 27

y = 3^ (x + 1).

Step-by-step explanation:

Here the y values are increasing by a factor 3 and when x = 0 y = 3,

so y = (3) ^1 when x = 0 - that is y = (3) ^ (0 + 1) = 3.

So y = 3^ (x + 1) is the rule.

Check: when x = - 2, y = 3^ (-2+1) = 3 ^-1 = 1/3.

When x = 1, y = 3 (1+1) = 3^2 = 9.