Math Problem Statement
Solution
The question asks which option represents a "one-to-one function." A one-to-one function (injective function) is a function where each element of the domain maps to a unique element in the codomain. No two different inputs can map to the same output.
Let's analyze the choices:
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A cellphone brand to its owner: This is not one-to-one because multiple owners can have the same cellphone brand.
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The president to its constituents: This is not one-to-one because a single president represents many constituents.
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A student to its LRN (Learner Reference Number): This is likely a one-to-one function, as each student is assigned a unique LRN, and no two students share the same LRN.
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A father to its child: This may not be one-to-one because a father can have multiple children, meaning one father could be mapped to multiple outputs.
The correct answer is "A student to its LRN", as this represents a one-to-one relationship where each student has a unique identifier (LRN).
Would you like more details or have any other questions?
Here are 5 related questions:
- What makes a function injective?
- Can a one-to-one function be a many-to-one function at the same time?
- How does a one-to-one function differ from a surjective function?
- What is the inverse of a one-to-one function?
- How can we test if a function is one-to-one?
Tip: To verify if a function is one-to-one, check if each input corresponds to a unique output and no two inputs share the same output.
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Math Problem Analysis
Mathematical Concepts
Functions
One-to-One Function
Formulas
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Theorems
Injective (One-to-One) Function Definition
Suitable Grade Level
Grades 9-12