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 ?

Question

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 ?

Accepted Answer

Choice B is correct. The given values show that as x increases, f(x) also increases, which means that f is an increasing function. Furthermore, f(x) 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(x) decreases rather than increases. Choice C is incorrect. For a decreasing exponential function, for each increase of x by 1, f(x) 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(x) increases by a fixed percentage rather than at a constant rate.

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