OG详解-OG5 数学1 Q16

Choice D is correct. It’s given that the graph of the rational function f is shown, where y = f(x) and x≥0. The graph shown passes through the point (3, 3). It follows that when the value of x is 3, the value of f(x) is 3. When the value of f(x) is 3, the value of f(x)+5 is 3+5, or 8. Therefore, the graph of y = f(x)+5 passes through the point (3, 8). Of the given choices, choice D is the only graph that passes through the point (3, 8) and is therefore the graph of y = f(x)+5.
Choice A is incorrect. This is the graph of y = f(x)-5, rather than y = f(x)+5. Choice B is incorrect. This is the graph of y = f(x)5​​, rather than y = f(x)+5 Choice C is incorrect and may result from conceptual or calculation errors.