= f(x) The graph of function f is shown, where^-^~ y. y 10 8 6., ~ 4,,,. 2 I.; ~ I ~ X 10 -8 -6 -4 4--6-~8-10 I.A'" 2-, 2.,. I 4 I I '6 I lg I '16 Which of the following describes function f?
Correct answer: A (parsed from the explanation — this source omits an answer key for this item)
Explanation
Choice A is correct. The graph of function f shows that as x increases, f^xh also increases, which means f^xh is an increasing function. The graph of f is a line, which indicates a constant rate of change. A function that has a constant rate of change is a linear function. Therefore, function f can be described as increasing linear. Choice B is incorrect. For a decreasing function, as x increases, f^xh decreases, rather than increases. Choice C is incorrect. The graph of an exponential function isn’t a line. Choice D is incorrect. For a decreasing function, as x increases, f^xh decreases, rather than increases, and the graph of an exponential function isn’t a line.
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