Question

learning goal: to be able to gain many different types of information from a graph. being able to read graphs is an important skill in science. it is also critical in day - to - day life, as information in the news and in business meetings is often presented in graphical form. in this problem, you will consider a single graph (figure 1) and all of the information that can be gained from it. since the graph axes have no labels, think of it as a graph of something important to you, whether that is gpa, your bank balance, or something else. specific applications will be noted for each way of analyzing a graph. you are looking at the area under the graph between two points. the area is zero. which two points are you looking at? select the two points that apply. hint 1. how to approach the problem since you want the area under the curve between two points to be zero, the graph must define equal - sized shaded regions above and below the horizontal axis. look for two points that are near each other, one above and one below the horizontal axis.

Explanation:

The area under a graph between two points is zero when the total area above the horizontal axis equals the total area below it between those points. Looking at the graph, between points A and E, the upward (above axis) and downward (below axis) regions balance out, resulting in a net area of zero.

Answer:

A. A, E. E