Math Problem Statement

is it a function yes or no

Is it a function? YES or NO

Solution

To determine if the graph represents a function, we can apply the vertical line test. If any vertical line crosses the graph at more than one point, then the graph does not represent a function.

In this graph, a vertical line at multiple points (like near the center) would intersect the curve more than once. This means the graph fails the vertical line test.

Answer: No, it is not a function.

Would you like further details, or do you have any questions?

Here are five related questions to explore further:

  1. What is the vertical line test, and why does it determine if something is a function?
  2. Can you describe a graph that would pass the vertical line test and be a function?
  3. How would you write a function in terms of mathematical notation?
  4. What types of graphs typically fail the vertical line test?
  5. Are all curves that cross themselves unable to be functions?

Tip: Functions have only one output (y-value) for each input (x-value).

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Math Problem Analysis

Mathematical Concepts

Functions
Vertical Line Test

Formulas

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Theorems

Vertical Line Test

Suitable Grade Level

Grades 8-10