Question

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

Explanation:

Step1: Find y-intercept (x=0)

$f(0)=2(3)^0=2(1)=2$
All graphs have y-intercept 2, so test x=1.

Step2: Calculate f(1)

$f(1)=2(3)^1=2(3)=6$

Step3: Calculate f(2)

$f(2)=2(3)^2=2(9)=18$

Step4: Match to graph

The graph with point (1,6) (and approaching (2,18)) is the bottom graph.

Answer:

The bottom graph (with the marked point (1,6)) is the graph of $f(x)=2(3)^x$.