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Name: Date: Page 1 of 6 Is it a Function? Functions In order for a relation to be a function, each must be mapped to one. 1. (a) Identify whether each relation is a function. (b) x 2 1 0 1 2 y 0 5

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How to Fill Out "Is it a Function?"

1. Start by understanding the concept of a function. A function is a relationship between two sets, where each element in the first set corresponds to exactly one element in the second set.
2. Identify the given set of inputs or domain. These are the possible values that can be inputted into the function.
3. Determine the corresponding outputs or range for each input value in the domain. Each input value should have a unique corresponding output value.
4. Check for any repetitions in the domain. If two or more input values have the same corresponding output value, then it is not a function.
5. Use mathematical notation to represent the function. Typically, this is done using the f(x) or y = f(x) notation, where x represents the input value and f(x) or y represents the output value.
6. Validate your answer by verifying that each input value in the domain has a corresponding output value, with no repetitions.
7. Finally, present your findings clearly and concisely, including a brief explanation of the function and its domain and range.

Who Needs "Is it a Function?"

1. Students studying mathematics or related subjects need to understand the concept of a function and how to determine if a relationship is a function or not.
2. Teachers or professors who are teaching mathematical concepts, specifically functions, need to have a deep understanding of how to fill out "Is it a Function?" and be able to explain it to their students effectively.
3. Individuals working in fields that heavily rely on mathematical calculations, such as engineering or physics, need to have a solid grasp of functions and their properties in order to solve complex problems.
4. Researchers or data analysts who deal with data sets and want to analyze relationships between variables need to be able to determine if a given relationship is a function or not.
5. Professionals in computer science or programming may need to work with functions in programming languages, and understanding the concept of a function is essential for their work.
6. Anyone who wants to improve their logical and analytical thinking skills can benefit from learning about functions and working through "Is it a Function?" exercises.

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