Scoopaloop Scoopaloop
  • 25-04-2020
  • Mathematics
contestada

write a rule for the function:

x -2, -1, 0, 1, 2
y 1/3, 1, 3, 9, 27

Respuesta :

PollyP52 PollyP52
  • 25-04-2020

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.

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