Math Problem Statement

Tell whether this graph represents a function.

Solution

The image shows a graph where two diagonal lines intersect, creating an "X" shape. To determine whether this represents a function, we can use the vertical line test. This test states that if a vertical line intersects the graph at more than one point, the graph does not represent a function.

In this case, vertical lines drawn through the intersection of the two diagonal lines will cross the graph at more than one point. This means that the graph does not represent a function.

Answer: Not a Function.

Would you like further details or have any questions? Here are some follow-up questions related to this topic:

  1. What is the vertical line test, and how is it used?
  2. How can we define a function in terms of inputs and outputs?
  3. What are examples of graphs that always represent functions?
  4. Can a graph be a function if it's not continuous?
  5. How do horizontal lines differ from vertical lines in function determination?

Tip: Always use the vertical line test to quickly determine whether a graph is a function.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing
Vertical Line Test

Formulas

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Theorems

Vertical Line Test

Suitable Grade Level

Grades 6-9