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Mobile App Chapter 3: Q.335 (page 328)
Is every relation a function? Is every function a
relation?
Short Answer
Every relation is not a function. Every function is a relation.
Step by step solution
Step 1. Given information.
A relation is a function when each input has exactly only one output. A relation is the set of inputs to the set of outputs. all functions are relations but all the relations are not functions.
So, every relation is not a function but every function is a relation.
Step 2. Example relation.
Now, write one example for "function" and one example for "not a function".
In the first diagram, we can say that each input has only one output. So this relation is a function.
In the second diagram, input 5 has two outputs 4 and 7 . So it is not a function but there are a set of inputs and outputs. Hence we say it is a relation. This relation is not a function.
Every relation is not a function but every function is a relation.
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