Math Problem Statement

What is the domain of the function shown in the graph below?

Solution

The graph shown is a portion of a function that starts at x=2x = 2 and increases towards the right.

Domain:

The domain of a function refers to the set of all possible input values (or xx-values) for which the function is defined.

In this case, the function begins at x=2x = 2 and continues indefinitely to the right, covering all values greater than or equal to 2. Therefore, the domain is:

Domain=[2,)\text{Domain} = [2, \infty)

Would you like further details or have any questions about this?

Here are 5 related questions to expand your understanding:

  1. How do you determine the range of this function from the graph?
  2. What is the significance of the arrow on the graph?
  3. Can a function have multiple domains?
  4. What types of functions typically have restricted domains?
  5. How would the domain change if the graph moved left?

Tip: The domain is often limited by the real-world context of the problem or by restrictions such as square roots or divisions by zero in the function.

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Math Problem Analysis

Mathematical Concepts

Functions
Domain
Graph Interpretation

Formulas

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Theorems

Domain Definition

Suitable Grade Level

Grades 8-10