Question

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

Answer 1

First graph

Explanation:

The y-intercept of f(x)=2(3)^x is found by letting x = 0: f(0) = 2(3)^0 = 2.

Thus, we can immediately eliminate the 2nd and 4th answer graphs.

Next, determine whether (1, 6) from the first graph satisfies f(x)=2(3)^x:

2(3)^1 = 2(3) = 6. Yes. So the first graph is the correct one.