1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DochEvi [55]
3 years ago
8

Assume that the domain A and codomain B for function f are both finite sets and that f is an onto function. What is the necessar

y relationship between the cardinality of A and the cardinality of B? Explain.
Social Studies
1 answer:
kap26 [50]3 years ago
3 0

Answer:

  • <em>Cardinality of B ≤ cardinality of A</em>
  • <em># B ≤ # A</em>

Explanation:

The <em>domain</em> is the set of input elements of the function.

The <em>codomain</em> is the set of output elements of the function.

<em>Cardinality</em> is the number of elements of a set.

As per the definition of function one input cannot have more than one output. Thus, every element of the domain is related to one element of the codomain and no more.

An <em>onto function</em>, also knwon as surjection, is one in which any element of the codomain is related with at least one element of the domain. But it could happen that the same element of the domain is related with several elements of the domain. Hence, the number of elements in the codomain may be less than or equal to the number of elements of the domain, but never greater.

<h2>Conclusion:</h2>

The cardinality of B is less than or equal to the cardinality of A. Using the symbol # for cardinality that is: #B ≤ #A.

You might be interested in
I need help asap on this answer
Tanya [424]

Answer: Union morale was low after its many losses, and victories would raise that morale.

Explanation:

7 0
2 years ago
Read 2 more answers
Factoring in everything we currently know about the history of the universe, our best estimate for the age of the universe is.
photoshop1234 [79]

Our best estimate for the age of the universe is based on what we currently know about the universe's history is 13.772 billion years.

<h3>How to calculate the age of the universe?</h3>

There are two methods by which the scientists calculate the age of the universe:

By searching for the oldest stars

By calculating the rate of expansion of the universe and generalizing back to the Big Bang Theory.

Thus, Our best estimate for the age of the universe is 13.772 billion years.

Learn more about the age of the universe

brainly.com/question/14454625

#SPJ4

3 0
2 years ago
At what temperature should you maintain a refrigerator?
pochemuha

Answer:

I think 40°F...

Please mark me as a brainlist

4 0
3 years ago
What are some argumentative essay topics?
love history [14]

Answer:

if you should chew gum in class

Explanation:

7 0
3 years ago
Read 2 more answers
Your driving record will never be available to the public. <br> a. true <br> b. false
Pavel [41]
For the answer to the question above, asking if <span>Your driving record will never be available to the public.

The statement is clearly a false because</span><span> It's public property.
I hope my answer helped you. Feel free to ask more questions. Have a nice day!</span>
8 0
3 years ago
Read 2 more answers
Other questions:
  • "People are the greatest resource that a country has". Justify.
    8·1 answer
  • Mm
    11·2 answers
  • Cuales son los elementos solidos
    13·1 answer
  • What state is southwest of Michigan. PLEASEEEEEEEEE HURRYYYYYYY!!!!!!​
    14·2 answers
  • Which of the following is not a benefit of federalism?
    11·1 answer
  • People rely on another for goods and services is called
    12·2 answers
  • What is object permanence
    11·1 answer
  • What two ancient democracies helped shape the system
    14·1 answer
  • An iterative methodology that rapidly repeats the analysis, design, and implementation phases of the sdlc is called:_________
    5·1 answer
  • What are the five types of civil disobedience?.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!