Math Problem Statement

Determine if the following relation is a function: (graph with a curve is shown)

Solution

To determine if the given relation is a function, we can use the Vertical Line Test. A relation is considered a function if every vertical line drawn through the graph intersects the graph at most once.

In this case, the graph shown represents a curve, and it does pass the vertical line test. For any vertical line drawn, it will only intersect the curve at one point. Therefore, this relation is a function.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the vertical line test, and how does it work?
  2. Can a graph represent a relation but not a function? How?
  3. How do we determine if a set of ordered pairs represents a function?
  4. What are the domain and range of a function?
  5. How do you differentiate between a function and a non-function on a graph?

Tip: Always apply the vertical line test when you're unsure whether a graph represents a function!

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Math Problem Analysis

Mathematical Concepts

Functions
Relations
Graphing

Formulas

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Theorems

Vertical Line Test

Suitable Grade Level

Grades 8-10