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

Set ASet B-12-31650

Answer

Attempt 1 out of 2

The mapping diagram above  representsdoes NOT represent a function since  there is one numberfor each number in  Set B (the output)Set A (the output)Set A (the input)Set B (the input) where there  is only one mappingis no mappingare multiple mappings  from Set A (the output)from Set A (the input)to Set B (the output)to Set B (the input).

Answer:

The mapping diagram above **represents** a function since there is **one number** for each number in **Set A (the input)** where there **is only one mapping** from **Set A (the input)** to **Set B (the output)**.

Explanation:
For a relation to be considered a function, every element in the input set (Set A) must map to exactly one element in the output set (Set B). If this condition is satisfied, the relation is a function.

Would you like more details or have any questions?

Here are five related questions to explore:
1. What is the formal definition of a function in mathematics?
2. Can a function have two different outputs for the same input?
3. How can you determine if a relation is a function from a graph?
4. What is the difference between a function and a relation?
5. Can a function be defined with an infinite set of inputs and outputs?

**Tip:** In function mappings, if an input has more than one corresponding output, the relation is not a function.

Fill in the blanks below in order to justify whether or not the mapping shown represents a function.
Set A: {-1, 2, -3}
Set B: {1, 6, 5}

The mapping diagram above represents/does NOT represent a function since there is one number for each number in Set A (the input) where there is only one mapping from Set A (the input) to Set B (the output).

Learn how to determine if a mapping represents a function using sets and mappings. This problem covers the definition of functions and their key properties, with examples. Suitable for students in Grades 6-8.

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