https://file.aiquickdraw.com/mathbot/file/17268429390505rnnnib4.jpg

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

In the image provided, we have a diagram that shows a mapping between an "Input" set and an "Output" set. 

For the relationship to qualify as a **function**, every element from the input set must map to **exactly one** element in the output set. However, in the image, we see multiple lines going from the same input values (such as \( x \), \( y \), \( u \), \( v \)) to more than one output value. This indicates that certain input values correspond to multiple outputs, which violates the definition of a function.

Therefore, the relationship shown in the diagram is **NF** (Not a Function).

Do you want further details or have any questions? Here are some related questions to expand on this concept:

1. What is the formal definition of a function?
2. Can a function have multiple inputs mapping to the same output?
3. How do you check if a graph represents a function using the vertical line test?
4. What are injective, surjective, and bijective functions?
5. How can relations be represented using sets, and when are they functions?

**Tip:** A function ensures that each input is linked to exactly one output—this is key to understanding many types of mappings!

Learn how to determine if a mapping between inputs and outputs qualifies as a function. Explore the key characteristics of functions, such as each input being associated with exactly one output. Suitable for students in Grades 6-8.

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