Which exponential function goes through the points (1, 16) and (4, 128)?

f(x) = 4(4)x

f(x) = 8(2)x

f(x) = 8(2)-x

f(x) = 4(4)-x

In this problem, we are given with the points (1, 16) and (4, 128) and is asked in the problem which among the functions correctly fits to the points. Via reverse engineering, we substitute the points to the functions and see which of them fits to the points. In this case, the answer to this problem is B. f(x) = 8 * 2^x