Math Problem Statement

Tell whether this graph represents a function.

Solution

The graph in the image shows a curve that fails the vertical line test, which determines whether a graph represents a function.

To apply the vertical line test:

  • A graph represents a function if any vertical line drawn through the graph intersects it at most once.
  • In this case, if you draw a vertical line at certain points (such as near the center), it intersects the graph more than once, which means this is not a function.

The correct answer is: Not a Function.

Would you like a more detailed explanation or have further questions?

Here are some related questions to deepen your understanding:

  1. What is the vertical line test, and why is it important?
  2. Can a function have two outputs for the same input?
  3. How can you graphically identify functions?
  4. What is an example of a graph that passes the vertical line test?
  5. How do we define a function in algebraic terms?

Tip: Always use the vertical line test when determining whether a curve is a function!

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Math Problem Analysis

Mathematical Concepts

Functions
Vertical Line Test
Graphing

Formulas

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Theorems

Vertical Line Test

Suitable Grade Level

Grades 6-8