Math Problem Statement
Solution
The graph shown in the image does not represent a function because it fails the vertical line test. In the vertical line test, if any vertical line intersects the graph at more than one point, then the graph is not a function. In this case, vertical lines will intersect the graph at multiple points along the curve, meaning that the graph cannot be classified as a function.
The correct choice is:
B. The graph is not that of a function.
Would you like more details on any specific aspect of the problem or how to analyze such graphs? Here are 5 follow-up questions:
- What is the vertical line test, and why does it matter for functions?
- Can you explain how to determine the domain and range for a function graphically?
- What are the intercepts and how are they found from a graph?
- How do you identify symmetry in graphs (x-axis, y-axis, origin)?
- What are some examples of graphs that are not functions?
Tip: Always remember that a function can only have one output (y-value) for each input (x-value).
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Math Problem Analysis
Mathematical Concepts
Functions
Graph Analysis
Vertical Line Test
Formulas
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Theorems
Vertical Line Test
Suitable Grade Level
Grades 8-10
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