Math Problem Statement

Determine the domain of the following graph: (Graph image provided by user)

Solution

To determine the domain of the graph, we must identify all the xx-values for which the graph has points. Looking at the graph:

  1. The graph starts at approximately x=10x = -10 (filled point) and ends at x=10x = 10 (open point).
  2. The filled point at x=10x = -10 indicates inclusion, while the open point at x=10x = 10 indicates exclusion.

Domain:

[10,10)[-10, 10)

This notation means the domain includes all xx-values from 10-10 to 1010, including 10-10, but excluding 1010.

Would you like further details or help on range or other aspects of the graph?


Related Questions:

  1. What is the range of the graph?
  2. How do you interpret open and closed points on graphs?
  3. How do you convert graph observations into interval notation?
  4. What happens to the domain if the graph extends infinitely in one direction?
  5. How would the domain change if the endpoint at x=10x = 10 were a filled point?

Tip:

Always check the graph carefully for open and closed points when identifying the domain or range.

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Math Problem Analysis

Mathematical Concepts

Domain and Range
Graph Analysis
Interval Notation

Formulas

None explicitly required; graph-based analysis

Theorems

Concept of domain in a function

Suitable Grade Level

Grades 8-10