Math Problem Statement

Determine the range of the following graph:

Solution

The range of a graph refers to all possible yy-values that the function can take. Looking at the graph you've provided, I can see that:

  • The graph has its highest point around y=7y = 7.
  • The lowest point the graph reaches is approximately y=9y = -9.

Therefore, the range of the function is from y=9y = -9 to y=7y = 7. In interval notation, this would be:

[9,7][-9, 7]

Let me know if you'd like further details, or if you have any other questions!

Here are 5 related questions for you:

  1. What is the domain of the given graph?
  2. How do you find the range of a graph when given a formula instead of a graph?
  3. What is the difference between the range and the domain of a function?
  4. Can a function have multiple ranges? Why or why not?
  5. How do you determine if a function is continuous across its range?

Tip: The range of a function is determined by the yy-coordinates of the graph, so always look for the highest and lowest points when examining a graph visually.

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Math Problem Analysis

Mathematical Concepts

Range of a function
Graph interpretation

Formulas

Range = [minimum y-value, maximum y-value]

Theorems

Range of a function

Suitable Grade Level

Grades 9-12