The table shows selected values from function f . x f x - 1 16 0 17 1 18 2

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.

$x$	$f (x)$
$negative 1$	$16$
$0$	$17$
$1$	$18$
$2$	$19$

Question the-ta