Question

Which is the graph of f(x)=2(3)^x

Answer 1

Let's plug the values and see which couple satisfy the equation: since
`y = 2\cdot 3^x`, if we plug the values from the first option
`(x,y)=(1,6)` we have

`6 = 2\cdot 3^1 = 2\cdot 3`

which is correct.

If we plug the values from the second option
`(x,y)=(1,9)` we have

`9 = 2\cdot 3^1 = 2\cdot 3`

which is not correct

If we plug the values from the third option
`(x,y)=(2,9)` we have

`9 = 2\cdot 3^2= 2\cdot 9`

which is not correct

If we plug the values from the fourth option
`(x,y)=(2,12)` we have

`12 = 2\cdot 3^2= 2\cdot 9`

which is not correct

So, the answer is the first one.