Math Problem Statement

Tell whether this graph represents a function.

Solution

The graph shown in the image depicts a sideways parabola, which opens to the right. To determine whether this graph represents a function, we can use the Vertical Line Test:

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

In this case, a vertical line drawn at certain points on the graph would intersect the curve at multiple points, which means it fails the Vertical Line Test. Therefore, this graph does not represent a function.

If you want more details on this, let me know! Here are 5 related questions you might find helpful:

  1. What is the Vertical Line Test and how does it apply to different types of graphs?
  2. What is the definition of a function in terms of inputs and outputs?
  3. How does a sideways parabola differ from a standard (upward or downward opening) parabola?
  4. Can all relations be classified as functions? Why or why not?
  5. What are some examples of graphs that pass the Vertical Line Test?

Tip: When determining if a graph is a function, always visualize drawing vertical lines to check for multiple intersections.

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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 7-9