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
oee [108]
3 years ago
15

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, gi

ven an element x in X, there is only one element in Y that x is related to. For example, consider the following sets X and Y.
Mathematics
1 answer:
defon3 years ago
8 0

Answer:

An ordered pair is a set of inputs and outputs and represents a relationship between the two values. A relation is a set of inputs and outputs, and a function is a relation with one output for each input.

h

here is a exstended explantion:

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to.

For example, consider the following sets X and Y. I'll give you a relation between them that is not a function, and one that is.

   X = { 1, 2, 3 }

   Y = { a , b , c, d }

   Relation from X to Y (i.e., in XxY ) : { (1,a) , (2, b) , (2, c) , (3, d) }

This relation is not a function from X to Y because the element 2 in X is related to two different elements, b and c. (Note, if you transpose the ordered pairs you <i>would</i> have a function from Y to X - can you see WHY?)

   Relation from X to Y that is a function: { (1,d) , (2,d) , (3, a) }

This is a function since each element from X is related to only one element in Y. Note that it is okay for two different elements in X to be related to the same element in Y. It's still a function, it's just not a one-to-one function.

You might be interested in
The watering can contained 5 1/2 quarts of water. After all the plants were watered, only 4 cups remained. How many cups of wate
Ivahew [28]

Answer: 9.5 cups of water

Step-by-step explanation:

5 1/2 + 4

5 1/2= 11/2

11/2+4=9.5

3 0
3 years ago
The other answer choice is 30
il63 [147K]

Answer:

21 pencils

Step-by-step explanation:

b 21 pencils

8 0
3 years ago
This table gives the minutes players spent practicing basketball free throws and the number of baskets they made when they were
kondor19780726 [428]

Answer:

0.79769, or 0.80 if you round it up

Step-by-step explanation:

8 0
3 years ago
Find the area of the composite figure<br><br>​
strojnjashka [21]

Answer:

84 square inches

Step-by-step explanation:

7 0
2 years ago
The diner sells 4 different sandwiches, 6 different drinks, and 3
dimulka [17.4K]

Answer:

sandwich and drink only (no dessert)

so 4 x 6 = 24

you have 24 different combinations you can do

hope this helps

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Profits were 18,447 last month and 14,300 the previous month. The rate of increase was what?
    15·1 answer
  • A researcher gathered data on hours of video games played by school-aged children and young adults. She collected the following
    6·1 answer
  • Please help me with this​
    5·1 answer
  • How do I find the range of this rational function, how do I do the steps in order to find it, please help!!!​
    7·2 answers
  • What is the solution to the inequality?
    10·2 answers
  • Isa makes a goal to drink 56 cups of water this week. She drinks 9 cups of water on each of the first 4 days of the week
    11·1 answer
  • 2485 pounds of sand are being packed into bags that weigh 45 pounds each.
    15·1 answer
  • Which point is located at on the vertical number line?
    12·1 answer
  • A pencil costs $0.25 more than an eraser. If the cost of eight pencils is $6.80, what is the cost of one eraser?
    8·2 answers
  • The equation of a curve is y = x³ + 4x. Show that the value of y increases when x increases. ² is a decreasing function.​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!