Math Problem Statement

Write the domain of the function using interval notation.

Solution

In this graph, we can observe a line that starts at the point (2,3)(-2, -3) and extends indefinitely towards the left side of the graph, which indicates that the domain covers all xx-values from -\infty to 2-2. Since there's no indication that the graph has any other restrictions, the domain is bounded at x=2x = -2 (inclusive).

Thus, the domain in interval notation is:

(,2](-\infty, -2]

Would you like further details, or do you have any questions?

Here are some related questions you might find useful:

  1. How do you determine the range of a function from a graph?
  2. What does it mean when the domain extends to infinity?
  3. How do you determine if a function is continuous from its graph?
  4. Can a graph have multiple domains?
  5. What happens when a function's domain includes an endpoint that is not defined?

Tip: Always check if the endpoints are included or excluded in the domain by looking for open or closed circles at the endpoints.

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Math Problem Analysis

Mathematical Concepts

Functions
Domain
Interval Notation
Graph Analysis

Formulas

-

Theorems

Domain of a linear function

Suitable Grade Level

Grades 8-10