Question

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

Answer 1

First graph

Explanation:

Start by determining the y-intercept. Letting x = 0 yields f(0) = 2(1) = 2. This exponential graph must pass through (2, 0). This eliminates both the second and the fourth answer choices.

Looking at the first graph, we see that (1, 6) is on the graph. Does this agree with f(x) = 2(3)^x evaluated at x = 1? Is f(1) = 2(3)^1 = 6? YES. So the first graph is the correct one for f(x) = 2(3)^x.