To find: the difference between relation and function and is every relation a function or is every function is relation.
Answer to Problem 20CT
Every relation is not a function and every function a relation.
Explanation of Solution
Given:
A relation and function.
Concept used:
A relation shows the relationship between input and output.
Whereas, a function is type of relation which derives one output for each given input.
All function is relation, but not all relations are functions.
Calculation:
A relation is a relationship between sets of values. Or, it is a subset of the cartesian profuct.
A function is a relation in which there is only one output for each input.
A relation is denoted by
Every
Example:
The given example is not a function, as
Hence, relation is not a function and every function a relation.
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