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

Choice B is correct. The given values show that as $x$ increases, $f\left(x\right)$ also increases, which means that $f$ is an increasing function. Furthermore, $f\left(x\right)$ 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, $f\left(x\right)$ decreases rather than increases.

Choice C is incorrect. For a decreasing exponential function, for each increase of $x$ by $1$, $f\left(x\right)$ 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 $1$, $f\left(x\right)$ increases by a fixed percentage rather than at a constant rate.