Math Problem Statement

Write F if function and NF if not function in a given problem.

Write F if function and NF if not function in a given problem.

Solution

In the image provided, we have a diagram that shows a mapping between an "Input" set and an "Output" set.

For the relationship to qualify as a function, every element from the input set must map to exactly one element in the output set. However, in the image, we see multiple lines going from the same input values (such as xx, yy, uu, vv) to more than one output value. This indicates that certain input values correspond to multiple outputs, which violates the definition of a function.

Therefore, the relationship shown in the diagram is NF (Not a Function).

Do you want further details or have any questions? Here are some related questions to expand on this concept:

  1. What is the formal definition of a function?
  2. Can a function have multiple inputs mapping to the same output?
  3. How do you check if a graph represents a function using the vertical line test?
  4. What are injective, surjective, and bijective functions?
  5. How can relations be represented using sets, and when are they functions?

Tip: A function ensures that each input is linked to exactly one output—this is key to understanding many types of mappings!

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Math Problem Analysis

Mathematical Concepts

Functions
Relations
Mappings

Formulas

-

Theorems

Definition of a Function

Suitable Grade Level

Grades 6-8