Math Problem Statement
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).
Solution
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:
- What is the formal definition of a function in mathematics?
- Can a function have two different outputs for the same input?
- How can you determine if a relation is a function from a graph?
- What is the difference between a function and a relation?
- 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.
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Math Problem Analysis
Mathematical Concepts
Functions
Mappings
Relations
Formulas
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Theorems
Function definition: A relation is a function if every input maps to exactly one output.
Suitable Grade Level
Grades 6-8