Math Problem Statement

Is this relation a function?

Solution

To determine if a relation is a function, we need to check if each input (or element from the domain) corresponds to exactly one output (or element from the range). In other words, a relation is a function if no input is associated with more than one output.

To assess this, you can:

  1. List the ordered pairs in the relation.
  2. Check for repeated inputs with different outputs.

If any input has more than one output, the relation is not a function. If every input has exactly one output, the relation is a function.

If you have specific ordered pairs or a graph to evaluate, please provide them, and I can give you a more precise answer.

Do you want more details or have any questions?


Here are 5 questions related to this topic:

  1. How do you determine the domain and range of a relation?
  2. What is the vertical line test, and how does it relate to functions?
  3. Can a function have two inputs that map to the same output?
  4. What are some examples of relations that are not functions?
  5. How does the definition of a function change when considering multiple variables?

Tip: When checking if a relation is a function, remember that each input must have one and only one output. If you see the same input paired with different outputs, it’s not a function.

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Math Problem Analysis

Mathematical Concepts

Functions
Relations

Formulas

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Theorems

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Suitable Grade Level

High School