Math Problem Statement

True or false? The graph represents a function.

Solution

The question asks whether the given graph represents a function, and we can analyze this using the Vertical Line Test. According to the vertical line test, if a vertical line drawn at any point along the x-axis intersects the graph more than once, the graph is not a function.

In this case, the graph loops and crosses itself, meaning a vertical line will intersect the graph at more than one point in certain regions. Therefore, the graph does not represent a function.

The correct answer is False.

Would you like more details or have any questions?

Here are 5 related questions to consider:

  1. What is the definition of a function in terms of inputs and outputs?
  2. How does the vertical line test determine if a graph represents a function?
  3. Can a function have more than one y-value for a single x-value? Why or why not?
  4. What are examples of graphs that always pass the vertical line test?
  5. How do different types of functions (e.g., linear, quadratic, cubic) behave on a graph?

Tip: Always use the vertical line test when uncertain about whether a graph represents a function!

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Vertical Line Test

Formulas

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Theorems

Vertical Line Test

Suitable Grade Level

Grades 9-12