https://file.aiquickdraw.com/mathbot/file/1726842833466e3xd8330.jpg

Write F if function and NF if not function in a given problem.

In this image, the left side represents the "Input" and the right side represents the "Output." For a relation to be classified as a **function**, each input must correspond to exactly **one** output. In this case, multiple inputs \(x\), \(y\), \(u\), \(v\), and 1 are all pointing to a common output, specifically the number 5. This violates the definition of a function because at least one input is mapping to multiple outputs.

Since each input does **not** map to a unique output, the relation in the diagram is **NF (Not a Function)**.

Do you want more details or have any questions?

Here are 5 questions to further explore the topic:

1. What is the definition of a function in terms of inputs and outputs?
2. Can a function have multiple inputs pointing to the same output?
3. How do we distinguish between functions and non-functions graphically?
4. What are some examples of real-world situations modeled by functions?
5. How can we verify if a table or a set of points represents a function?

**Tip**: To check if a relation is a function, use the "vertical line test" when dealing with graphs—if any vertical line intersects the graph more than once, it is not a function.

Learn how to determine if a relation is a function by analyzing the input and output mappings. In this example, multiple inputs map to a common output, violating the definition of a function. This topic covers essential concepts related to functions and relations, suitable for students in Grades 7-10.

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