OG详解-OG9 数学1 Q23

Choice D is correct. It’s given that for x>0, f(x) is equal to 201% of x. This is equivalent to f(x) = 201100​​x, or f(x) = 2.01x, for x>0. This function indicates that as x increases, f(x) also increases, which means f is an increasing function. Furthermore, f(x) increases at a constant rate of 2.01for each increase of x by 1. A function with a constant rate of change is linear. Thus, the function f can be described as an increasing linear function.
Choice A is incorrect and may result from conceptual errors. Choice B is incorrect and may result from conceptual errors. Choice C is incorrect. This could describe the function f(x) = (2.01)^x, where f(x) is equal to 201% of f(x-1), not x, for x>0.