Math Problem Statement

Determine the range of the following graph.

Solution

To determine the range of the graph provided, we look for the minimum and maximum values of yy that the graph reaches.

From the image:

  • The lowest point on the graph is approximately at y=2y = -2.
  • The highest point on the graph is approximately at y=9y = 9.

Thus, the range of the function is:

[2,9][-2, 9]

This means the yy-values of the graph fall between 2-2 and 99, inclusive.

Do you want further details or have any questions?

Here are 5 related questions:

  1. How do you define the domain of a function based on its graph?
  2. What is the significance of the range in real-world applications?
  3. How can you calculate the exact coordinates of a maximum or minimum point?
  4. How would the range change if the graph was shifted vertically?
  5. Can the range include infinity for some functions?

Tip: The range of a function includes all possible yy-values, while the domain includes all possible xx-values.

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Math Problem Analysis

Mathematical Concepts

Range of a function
Graph interpretation

Formulas

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Theorems

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Suitable Grade Level

Grades 8-10