OG详解-OG3 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  2.01 for 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.