Math Problem Statement

Determine the range of the following graph.

Solution

To determine the range of the given graph, we need to identify the minimum and maximum yy-values that the graph reaches.

Looking at the graph:

  1. The lowest point (minimum yy-value) is around y=11y = -11.
  2. The highest point (maximum yy-value) appears to be around y=3y = -3.

Therefore, the range of the graph, in interval notation, is: [11,3][-11, -3]

This range indicates that the graph's output values (the yy-values) lie between 11-11 and 3-3, inclusive.

Would you like a more detailed explanation of how to determine the range?

Related Questions

  1. How do you find the domain of a graph?
  2. What is the difference between domain and range?
  3. How would the range change if the graph shifted upwards by 3 units?
  4. How can we identify the range of a function if it is not represented graphically?
  5. What is the impact of a vertical stretch on the range of a function?

Tip

Always check the endpoints of a graph to confirm the exact minimum and maximum values for the range, especially when they are highlighted by specific points.

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Math Problem Analysis

Mathematical Concepts

Range
Graph Interpretation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8