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RELATIONS
CONCEPT LESSON CONTINUED
EXAMPLE CONTINUED
Here is the information we have:
A={duckling, calf, kitten, puppy, fry}
B={dog, cat, cow, chicken, duck, fish, pig}
Relation= {(duckling, duck), (calf, cow), (kitten, cat), (puppy,
dog), (fry, fish)}
We can see, from the definition that:
the image of the duckling is the duck,
the image of the calf is the cow,
the image of the kitten is the cat,
the image of the puppy is the dog and
the image of the fry is the fish.
LET US NOW DETERMINE
THE DOMAIN, CO-DOMAIN AND RANGE.
The domain is: {duckling, calf, kitten, puppy, fry}
The co-domain is: {dog, cat, cow, chicken, duck, fish, pig}
The range is: {duck, cow, cat, dog, fish}
The elements chicken and pig from the co-domain are not
related to any element in the domain, therefore they are
excluded from the range.
THE END.

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Relations Concept -2

  • 2. EXAMPLE CONTINUED Here is the information we have: A={duckling, calf, kitten, puppy, fry} B={dog, cat, cow, chicken, duck, fish, pig} Relation= {(duckling, duck), (calf, cow), (kitten, cat), (puppy, dog), (fry, fish)}
  • 3. We can see, from the definition that: the image of the duckling is the duck, the image of the calf is the cow, the image of the kitten is the cat, the image of the puppy is the dog and the image of the fry is the fish.
  • 4. LET US NOW DETERMINE THE DOMAIN, CO-DOMAIN AND RANGE. The domain is: {duckling, calf, kitten, puppy, fry} The co-domain is: {dog, cat, cow, chicken, duck, fish, pig} The range is: {duck, cow, cat, dog, fish}
  • 5. The elements chicken and pig from the co-domain are not related to any element in the domain, therefore they are excluded from the range. THE END.