Question

Which graph represents the function f(x) =three-halves(2)x?

On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 3), (2, 9).

On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 2) and goes through (1, 3), (2, 4.5), (3, 7)

On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1) and goes through (1, 2), (2, 4), (3, 8).

On a coordinate plane, an exponential function has a horizontal asymptote of y = 0. The function crosses the y-axis at (0, 1.5) and goes through (1, 3), (2, 6).

Answer 1

The fourth graph.

Reason: f(x) = (3/2)·2^x has f(0) = 3/2 = 1.5, f(1) = (3/2)·2 = 3, f(2) = (3/2)·4 = 6, and a horizontal asymptote y = 0, which matches the graph with points (0,1.5), (1,3), (2,6).