Question 48: Given the function y=f(x) . The function y=f(x) has a graph over an interval K as shown in the figure below. Of the following statements, how many are true? (I). On K, the function y = f(x) has two extremes. (II). The function y=f(x) peaks at \(x_3\). (III). The function y=f(x) has a minimum at \(x_1\).
Based on the graph of the function, we have a table of signs:
Thus: on K , the function y = f(x) has a minimum point of \(x_1\) and the maximum point is \(x_2;x_3\) is not the extreme point of the function.