Subjects algebra

One To One Functions 55E2A9

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Question: top-left: 5 6 One to One Functions center: A blue left angle bracket, then three yellow circles in a row where the first circle is filled and the next two are outlined, then a blue right angle bracket. bottom-left: Which of the following graphs represent a one-to-one function?
1. The problem asks us to identify which graphs represent a one-to-one function. 2. A function is one-to-one (injective) if and only if each output value corresponds to exactly one input value. 3. This means the graph passes the Horizontal Line Test: any horizontal line intersects the graph at most once. 4. To determine if a graph is one-to-one, check if any horizontal line crosses the graph more than once. 5. If yes, the function is not one-to-one; if no, it is one-to-one. 6. Since the problem does not provide explicit graphs, the key takeaway is to apply the Horizontal Line Test to each graph. 7. For example, if a graph is strictly increasing or strictly decreasing, it is one-to-one. 8. If a graph has any repeated y-values for different x-values, it is not one-to-one. Final answer: The graphs that pass the Horizontal Line Test represent one-to-one functions.