Question

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

Answer 1

I'm assuming the equation should be
`f(x) = 2(3)^x`

If so, then plug in x = 1 to find that

`f(x) = 2(3)^x\\\\f(1) = 2(3)^1\\\\f(1) = 2(3)\\\\f(1) = 6\\\\`

Showing the point (x,y) = (1,6) is on the curve. Only choice A reflects this. So choice A is the answer.

Choices B,C, and D can be ruled out. For instance, with choice B, plugging in x = 2 leads us to get

`f(x) = 2(3)^x\\\\f(2) = 2(3)^2\\\\f(2) = 2(9)\\\\f(2) = 18\\\\`

Indicating that (2,18) is on the curve instead of (2,12). This shows choice B is not a a valid answer. Similar situations will happen with C and D.

Answer 2

The last graph.

Hope this helps.