Question

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

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through (1, 6).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through (1, 9).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through (2, 8).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through (2, 12).

Answer 1

The first one. For f(x)=2·3^x the horizontal asymptote is y=0 (as x→−∞) and f(1)=2·3=6, so the graph passes through (1,6) (and has y-intercept (0,2)).