Math Problem Statement
Solution
The image you uploaded presents a graph and a question: "Is the graph a function?" with options "A) Yes" and "B) No."
To determine if a graph represents a function, we can apply the Vertical Line Test. According to this test, if any vertical line drawn through the graph intersects the graph at more than one point, then the graph does not represent a function. If every vertical line intersects the graph at most once, then the graph does represent a function.
In this case, the graph appears to be a parabola, which is the graph of a quadratic function. A vertical line drawn anywhere on this graph will intersect it at only one point. Therefore, the graph is indeed a function.
The correct answer is A) Yes.
Would you like more details on this concept or have any questions?
Here are some related questions that might interest you:
- What is the Vertical Line Test and how is it used to identify functions?
- Can a function have more than one output for a single input?
- How does the graph of a quadratic function generally look, and what are its key characteristics?
- What are the differences between functions and non-functions in graphical terms?
- How would the graph change if it represented a non-function?
Tip: When analyzing graphs to determine if they represent functions, always remember the Vertical Line Test as a quick and reliable method.
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Math Problem Analysis
Mathematical Concepts
Functions
Graphs
Vertical Line Test
Formulas
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Theorems
Vertical Line Test
Suitable Grade Level
Grades 8-10
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