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
ddd [48]
3 years ago
13

Is a relation always a function? Is a function always a relation? Explain.

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

A function is always a relation but relation is not always a function

<u>Solution:</u>

Given that, we have to explain Is a relation always a function and is a function always a relation

Note that both functions and relations are defined as sets of lists.  

In fact, every function is a relation. However, not every relation is a function.  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. Let me give you a relation between them that is not a function;

X = { 1, 2, 3 }

Y = { a , b , c, d }

Relation from X to Y : { (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

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.

So, we can say that function is a type of relation.

Which means whatever a function occurs, it will be a relation from one set to other.

But when a relation occurs it may be a function but need not be always a function.

Hence, a function is always a relation but relation is not always a function.

You might be interested in
Question:Find the area of he trapezoid by decomposing it into other shapes.
Ad libitum [116K]

Answer:

D) 171 cm²

Step-by-step explanation:

You don’t actually need to decompose it.  You could just do it as a trapezoid:

(15+23)/2=19

19x9=171

If you want to decompose it into 2 triangles and a rectangle:

10=15x9=135

1/2(3)(9)=13.5

1/2(5)(9)=22.5

135+13.5+22.5=171 also

8 0
3 years ago
Literal equations 2x-3y=8 solve for y
vichka [17]
2x-3y = 8

Add 3y on both sides

2x = 8 + 3y

Subtract 8 on both sides

3y = 2x - 8

Divide 3 on both sides

y= \frac{2}{3}x- \frac{8}{3}
4 0
4 years ago
Read 2 more answers
Phillip wanted to leave a 15% tip. Phillip's bill was $36.00. How much will he leave for a tip?
Anastaziya [24]
Your answer would be letter B. $5.40
4 0
3 years ago
Read 2 more answers
Find two number nearest to 8888888 which are exactly divisible by 2915​
Marysya12 [62]

Step-by-step explanation:

Given problem is to find nearest number,

= 8888888/2915

quotient = 3049

remainder= 1053

Now, 2915-1053 = 1862

8888888+1862 = 8890750

8888888-1053 = 8887835

Two numbers nearest to 8888888 which are exactly divisible by 2915 is 8887835 and 8890750

3 0
2 years ago
Help pls ASAP!!!!!!!!
eduard

Answer:

Option 1 and 2

Step-by-step explanation:

Slope = 2

y-intercept = 5

6 0
3 years ago
Other questions:
  • 1. What is the difference between an outcome and an event?
    12·1 answer
  • a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. write an equation to represent the distant d that the car travel
    11·1 answer
  • What items did she buy
    14·1 answer
  • BRAINLIEST FOR HELP PLZ
    11·2 answers
  • Solve for x, show your work: <br> 18/x^2 - 9/x = -1
    14·1 answer
  • Help me please:) will very much appreciate it
    14·1 answer
  • What is the area of this figure​
    8·2 answers
  • Percent decrease from 20 to 11
    12·1 answer
  • The scale on the architectural plans for a new house is 1 in. equals 4 ft. Find the length and width (in ft.) of a room that mea
    7·1 answer
  • -4 1/2 x -3 3/4 <br> Does anyone know how to get the answer to that
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!