Math Problem Statement

Based on the graph you provided, it seems like there are three points plotted: (−2,6)(-2, 6)(−2,6), (0,6)(0, 6)(0,6), and (1,0)(1, 0)(1,0).

To answer the questions:

Domain (the set of all possible x-values):
    The x-values from the points are −2-2−2, 000, and 111.
    So, the domain is {−2,0,1}\{-2, 0, 1\}{−2,0,1}.

Range (the set of all possible y-values):
    The y-values from the points are 666 and 000.
    So, the range is {0,6}\{0, 6\}{0,6}.

Set notation:

The domain is 

Solution

The domain of a function is the set of all possible xx-values that the function can take. Based on the points provided (2,6)(-2, 6), (0,6)(0, 6), and (1,0)(1, 0), the xx-values are 2-2, 00, and 11.

So, the domain is:

Domain={2,0,1}\text{Domain} = \{-2, 0, 1\}

Would you like more details or have any questions?

Here are some related questions you might find interesting:

  1. What would the range be if another point, say (2,8)(2, 8), was added?
  2. How do you determine the domain of a function when given an equation instead of points?
  3. If the graph were extended, how might the domain and range change?
  4. What is the significance of having repeated yy-values (like the two 6s in this example)?
  5. Can a domain or range ever be an empty set?

Tip: When dealing with graphs, always carefully check each point to accurately determine the domain and range!

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Math Problem Analysis

Mathematical Concepts

Functions
Domain and Range
Graphing Points

Formulas

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Theorems

Set Notation

Suitable Grade Level

Grades 6-8