Question

Write a rule for the function:

Answer 1

Answer:

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.