Math Problem Statement
Solution
The graph in the image shows a curve that fails the vertical line test, which determines whether a graph represents a function.
To apply the vertical line test:
- A graph represents a function if any vertical line drawn through the graph intersects it at most once.
- In this case, if you draw a vertical line at certain points (such as near the center), it intersects the graph more than once, which means this is not a function.
The correct answer is: Not a Function.
Would you like a more detailed explanation or have further questions?
Here are some related questions to deepen your understanding:
- What is the vertical line test, and why is it important?
- Can a function have two outputs for the same input?
- How can you graphically identify functions?
- What is an example of a graph that passes the vertical line test?
- How do we define a function in algebraic terms?
Tip: Always use the vertical line test when determining whether a curve is a function!
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Math Problem Analysis
Mathematical Concepts
Functions
Vertical Line Test
Graphing
Formulas
-
Theorems
Vertical Line Test
Suitable Grade Level
Grades 6-8
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