Math Problem Statement
Solution
The problem asks to find the domain and range of the relation shown in the graph and to determine if it represents a function using the vertical line test.
Step 1: Vertical Line Test
The vertical line test determines whether a graph represents a function. A graph is a function if no vertical line intersects the graph at more than one point. In this graph, there appears to be a horizontal line, which would pass the vertical line test because any vertical line would only touch it once. Therefore, the graph represents a function.
Step 2: Domain of the Relation
The domain is the set of all possible values of (horizontal axis) for which the graph exists.
- From the graph, the horizontal line stretches between and .
- Therefore, the domain is the interval .
So, the correct answer for the domain (Choice B) is:
Would you like details on the range, or do you have any other questions?
Related Questions:
- What is the range of this function?
- Can a horizontal line ever fail the vertical line test?
- How do you find the range from a graph?
- What is the difference between a relation and a function?
- How do you write a domain in set notation?
Tip: When analyzing a graph, always carefully observe the points where the graph begins and ends to determine the domain and range.
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Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Vertical Line Test
Formulas
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Theorems
Vertical Line Test
Suitable Grade Level
Grades 9-12
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