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.