Math Problem Statement

Determine the domain of the following graph.

Solution

To determine the domain of the given graph, let's analyze the x-values for which the function is defined.

  1. The graph starts from a filled point at approximately x=10x = -10.
  2. The graph extends to the right and ends at an open point around x=8x = 8.

Since the filled point indicates that the value at x=10x = -10 is included and the open point at x=8x = 8 indicates that this value is excluded, we can conclude that:

The domain of the graph is: [10,8)[-10, 8)

This notation means the function is defined for all x-values from 10-10 to 88, including 10-10 but not including 88.

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

Here are some related questions for further exploration:

  1. What is the range of this graph?
  2. How would the domain change if the open point at x=8x = 8 were filled?
  3. What are the x-intercepts of this graph?
  4. How does the domain affect the possible values of yy?
  5. Can this function be represented by a specific equation or function type?

Tip: Remember, closed circles (filled points) on a graph indicate that the endpoint is included in the domain or range, while open circles indicate exclusion.

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Math Problem Analysis

Mathematical Concepts

Domain of a function
Graph interpretation

Formulas

None

Theorems

None

Suitable Grade Level

Grades 9-10