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 -values that the function can take. Based on the points provided , , and , the -values are , , and .
So, the domain is:
Would you like more details or have any questions?
Here are some related questions you might find interesting:
- What would the range be if another point, say , was added?
- How do you determine the domain of a function when given an equation instead of points?
- If the graph were extended, how might the domain and range change?
- What is the significance of having repeated -values (like the two 6s in this example)?
- 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
-
Theorems
Set Notation
Suitable Grade Level
Grades 6-8