Math Problem Statement

What appears to be the domain of the function shown in the graph?

Solution

The question asks about the domain of the function represented in the graph. The domain refers to the set of all possible xx-values for which the function is defined.

Analysis of the Graph:

  • The graph starts at x=2x = 2 (indicated by the point at (2,6)(2, 6)).
  • The graph ends at x=8x = 8 (indicated by the point at (8,0)(8, 0)).

Thus, the function is defined between x=2x = 2 and x=8x = 8, inclusive. This means the domain of the function is 2x82 \leq x \leq 8.

Correct Answer:

  • The correct choice is B: 2x82 \leq x \leq 8.

Let me know if you want more details or have any further questions.

Here are some follow-up questions related to this concept:

  1. What is the range of the function shown in the graph?
  2. How do you identify the range of a function from its graph?
  3. What is the slope of the function on the graph?
  4. How would the domain change if the graph extended beyond x=8x = 8?
  5. What is the difference between the domain and range of a function?

Tip: When analyzing a graph for domain, focus on the xx-values along the horizontal axis that the function covers.

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Math Problem Analysis

Mathematical Concepts

Domain of a Function
Graph Interpretation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8