Math Problem Statement

Is this graph a function

Solution

Let me analyze the newly uploaded image to check if the graph shown is a function. I'll take a look now.The graph in the image is a circle.

Function Analysis:

  • Vertical Line Test: The circle does not pass the vertical line test. If you draw a vertical line through the circle, it will intersect the graph at two points in many places, meaning there are multiple yy-values for a single xx-value.

Conclusion:

This graph is not a function.

Let me know if you'd like further explanation or clarification!


Here are 5 related questions to consider:

  1. Why does a circle fail the vertical line test?
  2. Can any shape other than a straight line be a function?
  3. How do we express a circle algebraically? (What is its equation?)
  4. What is the difference between a function and a relation?
  5. How do you determine if a graph represents a function just by looking at its equation?

Tip: Circles and ellipses are always examples of relations that are not functions due to their symmetry around both axes.

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Math Problem Analysis

Mathematical Concepts

Functions
Vertical Line Test
Relations

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12