Question

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 1.5), (0, 3), (1, 6).
Which exponential function is represented by the graph?

f(x) = 2(3x)
f(x) = 3(3x)
f(x) = 3(2x)
f(x) = 2(2x)

Answer 1

Interpret the choices as f(x)=a·b^x. Since f(0)=3, the coefficient a=3. Then f(1)=3·b = 6 so b=2. Thus the function is f(x)=3·2^x, i.e. f(x)=3(2^x) (the third option).