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 of the two remaining graphs represents a function, you can follow these steps:
1. Understand the vertical line test: The vertical line test is a method used to determine if a graph represents a function. It states that if any vertical line passes through the graph and intersects it at more than one point, then the graph does not represent a function.
2. Apply the vertical line test: Examine each of the two remaining graphs and imagine drawing several vertical lines through them. Look for any instance where a vertical line intersecting the graph passes through two or more points on the graph. If you find such an instance, that graph fails the vertical line test and does not represent a function.
3. Identify the graph passing the vertical line test: The graph that passes the vertical line test, meaning that no vertical line intersects the graph at more than one point, represents a function. Choose that graph as your answer.
By applying the vertical line test, you can identify which of the two remaining graphs represents a function. Remember that a function is a relation in which every input (x-value) corresponds to only one output (y-value) on the graph.