Math Problem Statement

State whether the graph is or is not that of a function.

Solution

The image shows a graph, and the question asks if the graph represents a function or not. To determine this, we can apply the vertical line test:

  • A graph represents a function if any vertical line drawn on the graph intersects it at no more than one point.

In this case, the graph appears to have a vertical line, which fails the vertical line test because a single vertical line would intersect the graph in multiple points.

Conclusion:

  • The graph is not that of a function. Therefore, the correct answer is No (a).

Would you like a detailed explanation of the vertical line test, or do you have any other questions?

Here are some related questions:

  1. What is the vertical line test for functions?
  2. How do we determine if a graph represents a function using its equation?
  3. What are examples of graphs that are and are not functions?
  4. What are the consequences of a graph not being a function in practical scenarios?
  5. How does the horizontal line test differ from the vertical line test?

Tip: When dealing with graphs, always use the vertical line test to quickly identify whether a graph represents a function!

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Math Problem Analysis

Mathematical Concepts

Functions
Graph Theory
Vertical Line Test

Formulas

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Theorems

Vertical Line Test

Suitable Grade Level

Grades 8-10