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Chapter 3: Q.335 (page 328)

Is every relation a function? Is every function a

relation?

Short Answer

Expert verified

Every relation is not a function. Every function is a relation.

Step by step solution

01

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.

02

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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