Math Problem Statement

Determine the range of the following graph.

Solution

To determine the range of the graph provided, we need to identify the set of all possible yy-values (vertical axis values) that the graph can take.

From the image, we can observe the following:

  1. Highest Point: The highest point on the graph appears to be around y=2y = 2.
  2. Lowest Point: The lowest point on the graph reaches approximately y=11y = -11.

Given these observations, the range of the graph can be described as all yy-values from the lowest point to the highest point.

Conclusion

The range of the graph is:
[11,2][-11, 2]

Would you like a detailed explanation of how to determine the range of a function from a graph?

Related Questions:

  1. What is the domain of this graph?
  2. How do you determine if a graph is a function?
  3. What is the difference between range and domain in a graph?
  4. How would the range change if the graph were shifted upwards?
  5. Can a graph have an infinite range?

Tip: When determining the range, always look for the lowest and highest points on the graph.

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Math Problem Analysis

Mathematical Concepts

Graph Analysis
Range of a Function
Coordinate Plane

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12