Fill in the blanks below in order to justify whether or not the mapping shown represents a function.

Set ASet B5-31703-2

Answer

Attempt 2 out of 2

The mapping diagram above  does NOT representrepresents a function since  there is one numberfor each number in  Set A (the input)Set B (the input)Set B (the output)Set A (the output) where there  are multiple mappingsis only one mappingis no mapping  from Set A (the input)from Set A (the output)to Set B (the output)to Set B (the input).

The mapping diagram above **does NOT represent** a function since **there is one number in Set A (the input)** where **there are multiple mappings from Set A (the input) to Set B (the output)**.

### Explanation:
In order for a relation to be a function, each input (from Set A) must map to exactly one output (in Set B). If any input in Set A maps to more than one output, the relation is not a function.

Would you like to go over the details of this or have any further questions?

Here are 5 related questions to explore:

1. What is the formal definition of a function in terms of sets and mappings?
2. How can you visually verify a function using a mapping diagram?
3. Can a function have multiple inputs mapping to the same output? Explain.
4. What is the difference between a relation and a function?
5. How does the vertical line test help in identifying functions?

**Tip:** Always ensure that for a relation to be a function, each input has exactly one output; no input can have more than one mapping.

Fill in the blanks below in order to justify whether or not the mapping shown represents a function. Set ASet B5-31703-2 Answer Attempt 2 out of 2 The mapping diagram above does NOT representrepresents a function since there is one numberfor each number in Set A (the input)Set B (the input)Set B (the output)Set A (the output) where there are multiple mappingsis only one mappingis no mapping from Set A (the input)from Set A (the output)to Set B (the output)to Set B (the input).

Explore how to determine whether a mapping represents a function based on the relation between Set A (inputs) and Set B (outputs). Learn the rules for functions using mapping diagrams and relations. Suitable for students in Grades 6-8.

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