Math Problem Statement

just give me the andwer

Which of these relations is a function?

Solution

The answer is the top-right graph. It represents a function because it passes the vertical line test—every vertical line intersects the graph at most once.

Let me know if you want further explanation!

Related Questions:

  1. What is the vertical line test, and how does it determine if a relation is a function?
  2. Why does the top-left graph fail to represent a function?
  3. How can we represent functions algebraically rather than graphically?
  4. What are real-world examples of functions and non-functions?
  5. How do domain and range relate to the concept of a function?

Tip: When analyzing graphs, always apply the vertical line test to quickly determine whether the relation is a function.

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Analysis

Formulas

Vertical Line Test

Theorems

Definition of a Function

Suitable Grade Level

Grades 8-10