Question

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

Answer 1

Answer:

The last graph.

Hope this helps.

Answer 2

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.