CA Foundation Exam > CA Foundation Questions > {( x , y)|x = 4} is aa)not a functionb)functi...
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{( x , y)|x = 4} is a
- a)not a function
- b)function
- c)one-one mapping
- d)none of these
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
{( x , y)|x = 4} is aa)not a functionb)functionc)one-one mappingd)none...
Given set {( x , y)|x = 4}. We need to determine whether it is a function or not.
Function Definition:
A function is a set of ordered pairs in which no two different ordered pairs have the same first element.
Explanation:
- In the given set, all the ordered pairs have the same first element i.e. x = 4
- However, there can be multiple values of y for a given value of x
- Thus, there exist different ordered pairs with the same first element, violating the definition of a function
- Therefore, the given set is not a function
Answer: Option 'A' (not a function)
Function Definition:
A function is a set of ordered pairs in which no two different ordered pairs have the same first element.
Explanation:
- In the given set, all the ordered pairs have the same first element i.e. x = 4
- However, there can be multiple values of y for a given value of x
- Thus, there exist different ordered pairs with the same first element, violating the definition of a function
- Therefore, the given set is not a function
Answer: Option 'A' (not a function)
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Community Answer
{( x , y)|x = 4} is aa)not a functionb)functionc)one-one mappingd)none...
Some relations are functions and some relations are not functions
here there is no relation between x and y so it is not function
here there is no relation between x and y so it is not function
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{( x , y)|x = 4} is aa)not a functionb)functionc)one-one mappingd)none of theseCorrect answer is option 'A'. Can you explain this answer?
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