OG详解-OG10 数学2 Q23

Choice C is correct. For the form of the function in choice C, f(x) = 128(1.6)^x-1,  the value of f(1) can be found as 128(1.6)^1-1, which is equivalent to 128(1.6)⁰ , or 128. Therefore, k = 128, which is shown in f(x) = 128(1.6)^{x- 1} as the coefficient.
Choice A is incorrect and may result from conceptual or calculation errors. Choice B is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.