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Questions and Answers
What is the primary difference between a relation and a function?
What is the primary difference between a relation and a function?
- A relation has a unique output for every input, while a function has multiple outputs for every input.
- A relation associates one element of set A with multiple elements of set B, while a function associates one element of set A with exactly one element of set B. (correct)
- A relation is defined for all elements of set A, while a function is defined only for some elements of set A.
- A relation is one-to-one, while a function is many-to-one.
Which type of function maps multiple elements of the domain to the same element of the range?
Which type of function maps multiple elements of the domain to the same element of the range?
- One-to-Many Relation
- Constant Function
- Many-to-One Function (correct)
- One-to-One Function
What is the graphical representation of a one-to-one function?
What is the graphical representation of a one-to-one function?
- Every vertical line intersects the graph at most once. (correct)
- Every horizontal line intersects the graph more than once.
- Every vertical line intersects the graph more than once.
- Every horizontal line intersects the graph at most once.
What is not a type of function?
What is not a type of function?
What is the range of a function?
What is the range of a function?
What is the main characteristic of a one-to-one function?
What is the main characteristic of a one-to-one function?
In a function, how many elements of the range can be associated with a single element of the domain?
In a function, how many elements of the range can be associated with a single element of the domain?
What is the key characteristic of a one-to-many relation?
What is the key characteristic of a one-to-many relation?
Which of the following is an example of a many-to-one function?
Which of the following is an example of a many-to-one function?
What is the purpose of a graphical representation of a function?
What is the purpose of a graphical representation of a function?
How can you determine if a relation is a function?
How can you determine if a relation is a function?
Which of the following statements is true about functions?
Which of the following statements is true about functions?
If a single element in the domain is associated with multiple elements in the range, what type of relation is it?
If a single element in the domain is associated with multiple elements in the range, what type of relation is it?
What is the condition for a graph to represent a function?
What is the condition for a graph to represent a function?
Which of the following statements is false?
Which of the following statements is false?
What can be said about the domain and range of a many-to-one function?
What can be said about the domain and range of a many-to-one function?
What can be concluded about a relation if every horizontal line intersects the graph at most once?
What can be concluded about a relation if every horizontal line intersects the graph at most once?
What is the key difference between a one-to-one function and a many-to-one function?
What is the key difference between a one-to-one function and a many-to-one function?
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