Final answer:
The correct function represented by the graph is f(x) = -2x + 11 (option C). The graph has a negative slope that is decreasing in magnitude with increasing x, which matches with the function -2x + 11.
Step-by-step explanation:
The correct function represented by the graph is f(x) = -2x + 11 (option C).
To determine this, we can analyze the given information. The graph of the function has a negative slope, indicating that the coefficient of x is negative. We can eliminate options A and B as they do not have a negative coefficient for x.
Option D could be a possibility, but since the slope is decreasing in magnitude with increasing x, option C, which has a larger negative coefficient for x than option D, is a better fit. Therefore, the correct function is f(x) = -2x + 11.