i have four graphs and i need to find which one represents a function two of them didn't because they didn't pass the vertical line test so i got left with two who did pass it but now i don't know which one to pick since there is only one answer that's right
To determine which one of the two remaining graphs represents a function, you will need to analyze the characteristics of each graph. Here's a step-by-step process to help you make the correct choice:
1. Recall the definition of a function: A function is a relation where each input (x-value) is associated with only one output (y-value).
2. Consider the vertical line test: For a graph to represent a function, no vertical line should intersect the graph more than once. This means that if you were to draw a vertical line anywhere on the graph, it should only intersect the graph at one point at most.
3. Examine both of the graphs that passed the vertical line test. Pay attention to any points on the graph where a vertical line could potentially intersect more than once.
4. Trace each graph with your finger or a pencil from left to right, focusing on the vertical line passes through any point where it might intersect the graph multiple times.
5. If at any point during tracing, you find a portion of the graph where your finger or pencil makes multiple contacts with the graph, then it means that the graph does not represent a function.
6. On the other hand, if your finger or pencil only touches the graph at one point for every vertical line you draw, then that graph represents a function.
Using this process, you will find the graph that represents a function based on the results of the vertical line test.