Math Problem Statement

whats The domain and range

Solution

To determine the domain and range from the graph you provided, we will analyze the plot:

Domain:

The domain represents all possible xx-values for which the function is defined.

  • The graph starts at x=10x = -10 and goes up to x=2x = 2. These are the bounds for xx.

Thus, Domain: [10,2][-10, 2]

Range:

The range represents all possible yy-values that the function can take.

  • The graph seems to cover yy-values from y=4y = -4 to y=10y = 10.

Thus, Range: [4,10][-4, 10]

Summary:

  • Domain: [10,2][-10, 2]
  • Range: [4,10][-4, 10]

Would you like a detailed explanation of how these values are derived? If you have any further questions or need clarification, feel free to ask!

Here are five related questions you might find useful:

  1. What is the difference between domain and range?
  2. How do you determine the domain and range from an equation instead of a graph?
  3. How can the domain and range change if the function is shifted?
  4. What are the common mistakes when identifying domain and range on a graph?
  5. How does the concept of asymptotes relate to domain and range?

Tip: When finding the domain and range, always check the extremities of the graph to ensure you capture the correct values.

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Math Problem Analysis

Mathematical Concepts

Functions
Graphing

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12