What is a rule that represents the function, (0,1), (1,3), (2,9), (3,27), (4, 81) ?

y=3x+1

x = - 21/5

Step-by-step explanation:

Notice that each new y - value is 3 times the previous y-value. Thus, the function is y = 3^ (n-1).

Check: If n = 1, y = 3^0 = 1. This is correct.

if n = 3, y = 3^2 = 9. This is correct.