Math Problem Statement

The mapping diagram above does NOT represent a function since in Set A (the input) where there

to Set B (the output) .

Solution

It seems like your statement is incomplete. You're describing a situation involving a mapping diagram between two sets, Set A (the input) and Set B (the output), and you're concluding that the diagram does not represent a function. Let me try to clarify:

A function is a relationship between two sets such that every element in Set A (the input set) is mapped to exactly one element in Set B (the output set).

A mapping diagram does not represent a function if:

  • An element in Set A is mapped to more than one element in Set B. This violates the definition of a function.

For example, if an element in Set A has two or more arrows pointing to different elements in Set B, then it is not a function.

Could you confirm if this was your intended explanation, or provide more details so I can help you better?

Would you like further details, or have any questions?

Here are 5 relative questions to deepen the understanding:

  1. What is the formal definition of a function?
  2. Can a function have the same output for multiple inputs?
  3. How does the concept of "domain" and "range" relate to functions?
  4. What is the difference between a one-to-one function and a general function?
  5. How would a vertical line test help identify a function on a graph?

Tip: In a mapping diagram, ensure that each input has only one arrow pointing to the output to meet the function criteria.

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Math Problem Analysis

Mathematical Concepts

Functions
Mappings
Sets

Formulas

-

Theorems

Definition of a Function

Suitable Grade Level

Grades 9-12