Math Problem Statement
Solution
The question asks whether the given graph represents a function, and we can analyze this using the Vertical Line Test. According to the vertical line test, if a vertical line drawn at any point along the x-axis intersects the graph more than once, the graph is not a function.
In this case, the graph loops and crosses itself, meaning a vertical line will intersect the graph at more than one point in certain regions. Therefore, the graph does not represent a function.
The correct answer is False.
Would you like more details or have any questions?
Here are 5 related questions to consider:
- What is the definition of a function in terms of inputs and outputs?
- How does the vertical line test determine if a graph represents a function?
- Can a function have more than one y-value for a single x-value? Why or why not?
- What are examples of graphs that always pass the vertical line test?
- How do different types of functions (e.g., linear, quadratic, cubic) behave on a graph?
Tip: Always use the vertical line test when uncertain about whether a graph represents a function!
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Math Problem Analysis
Mathematical Concepts
Algebra
Functions
Vertical Line Test
Formulas
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Theorems
Vertical Line Test
Suitable Grade Level
Grades 9-12
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