Decreasing exponential
Increasing exponential
Decreasing linear
Increasing linear
Explanation
Correct answer: B.
Choice B is correct. The graph of function shows that as increases, also increases, which means that is an increasing function. The graph of function is curved upward and increases at an increasing rate, not a constant rate. This behavior is characteristic of exponential functions, not linear functions. Therefore, of the given choices, function is best described as increasing exponential.
Desmos solution:
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Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect. For a decreasing function, as increases, decreases rather than increases.
Choice C
Choice C is incorrect. For a decreasing function, as increases, decreases rather than increases, and the graph of a linear function isn't curved.
Choice D
Choice D is incorrect. The graph of a linear function isn't curved.