Decreasing linear
Increasing linear
Decreasing exponential
Increasing exponential
Explanation
Correct answer: B.
Choice B is correct. The given values show that as increases, also increases, which means that is an increasing function. Furthermore, increases at a constant rate of for each increase of by . A function with a constant rate of change is linear. Thus, the function can be described as an increasing linear function.
Desmos solution:
Note: Because consecutive outputs increase by the same positive amount, f is increasing linear.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. For a decreasing linear function, as increases, decreases rather than increases.
Choice C
Choice C is incorrect. For a decreasing exponential function, for each increase of by , decreases by a fixed percentage rather than increases at a constant rate.
Choice D
Choice D is incorrect. For an increasing exponential function, for each increase of by , increases by a fixed percentage rather than at a constant rate.