For x > 0 , the function f is defined as follows: f ( x ) equals 201 % of

Question

For x &#62; 0 , the function f is defined as follows: f ( x ) equals 201 % of x Which of the following could describe this function?

Accepted Answer

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 = 201 100 x , or f x = 2.01 x , for x > 0 . This function indies 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 .

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