Math Problem Statement

What is the domain of the relation below? (Image graph showing a curve between x = 0 and x = 5.)

Solution

The graph provided shows a relation with a curve that starts at approximately x=0x = 0 and ends at x=5x = 5 along the x-axis. Since the domain represents all the possible xx-values for which the relation is defined, we need to identify the range of xx-values for the curve.

From the graph:

  • The curve begins at x=0x = 0 and ends at x=5x = 5.
  • Therefore, the domain of the relation is 0x50 \leq x \leq 5.

The correct answer to the question is the last option: 0x5\boxed{0 \leq x \leq 5}

Would you like further details or explanation on how to determine the domain of a relation?

Here are 5 related questions to explore:

  1. What is the range of the given relation?
  2. How do you find the domain of more complex functions involving square roots or logarithms?
  3. What is the difference between domain and range?
  4. Can a domain include negative values of xx?
  5. How does restricting the domain affect the graph of a function?

Tip: When analyzing the domain, always check for the minimum and maximum xx-values where the function or relation is defined.

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Math Problem Analysis

Mathematical Concepts

Algebra
Functions
Domain and Range

Formulas

Domain: The set of all possible x-values for a relation

Theorems

Definition of Domain of a Function

Suitable Grade Level

Grades 6-8