9 The graph of the function f is shown, where = y f x. ^ h Which of the following best describes the function f?
Correct answer: B (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice B is correct. The graph of function f shows that as x increases, f^xh also increases, which means that f is an increasing function. The graph of function f 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 f is best described as increasing exponential. Choice A is incorrect. For a decreasing function, as x increases, f^xh decreases rather than increases. Choice C is incorrect. For a decreasing function, as x increases, f^xh decreases rather than increases, and the graph of a linear function isn’t curved. Choice D is incorrect. The graph of a linear function isn’t curved.
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