wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Determine whether a relation is function.


Open in App
Solution

We know a relation is a function only if it relates each element in its domain (input) to only one element in the range (output).

So from the above diagram, we can see a well-defined one-to-many mapping from the domain {0,2,46} onto the range {0,-2,-4,-6}.

So, the ordered pairs are (0,-2),(2,0),(2,-4),(4,-4),(6,-6)

Here, the input 2 has two outputs 0 and -4. So, the relation is not a function.

Hence, the relation is not a function.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Mapping Diagrams
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon