The table shows selected values from function f. x f(x) −1 16 0 17 1 18 2 19 Which of the following is the best description of function f?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice B is correct. The given values show that as x increases, f^xh also increases, which means that f is an increasing function. Furthermore, f^xh increases at a constant rate of 1 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. For a decreasing linear function, as x increases, f^xh decreases rather than increases. Choice C is incorrect. For a decreasing exponential function, for each increase of x by 1, f^xh decreases by a fixed percentage rather than increases at a constant rate. Choice D is incorrect. For an increasing exponential function, for each increase of x by 1, f^xh increases by a fixed percentage rather than at a constant rate.
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