Question

# Is the relation shown in the table a function ? Explain

Hint:

### An ordered pair is represented as (INPUT, OUTPUT)

A function from set A to the set B is a relation which associates every element of a set A to unique element of set B.

## The correct answer is: { 1 , 3 , 4 , 5 }

### We have given the data in the tabular form

We will write it in point form

(4 , 1)(8 , 3) (4 , 5)(8 ,4)

Domain:- { 4 , 8}

Co- Domain:- { 1 , 3 , 4 , 5 }

From the given data we can analyse that the member in the domain set i.e. 4 has two images i.e. 1 and 5 in the co-domain

And 8 has two images as 3 and 4 in the co-domain.

We know that in a function one member in the domain set cannot have two images in the co-domain set.

Therefore, the given relation is not a function.

All functions are relations but all relations are not functions.

### Related Questions to study

### Solve 0.14x + 0.12 = 0.35x − 2.4. Write a reason for each step.

### Solve 0.14x + 0.12 = 0.35x − 2.4. Write a reason for each step.

### Does the relation below shows represent a function ? Explain.

(-2,2)(-7,1) (-3,9)(3,4)(-9,5)(- 6,8)

**Note:** All functions are relations but all relations are not functions.

### Does the relation below shows represent a function ? Explain.

(-2,2)(-7,1) (-3,9)(3,4)(-9,5)(- 6,8)

**Note:** All functions are relations but all relations are not functions.

### The set of ordered pairs (1,19)(2,23) (3,23) (4,29)(5,31) represents the number of tickets sold to a fundraiser. The input values represents the day and the output values represents the number of tickets sold on that day.

a) Make an arrow diagram that represents the relation

b) Is the relation a function ? Explain.

**Note:** All functions are relations but all relations are not functions.

### The set of ordered pairs (1,19)(2,23) (3,23) (4,29)(5,31) represents the number of tickets sold to a fundraiser. The input values represents the day and the output values represents the number of tickets sold on that day.

a) Make an arrow diagram that represents the relation

b) Is the relation a function ? Explain.

**Note:** All functions are relations but all relations are not functions.

### The perimeter of a regular dodecagon is 108 . Find the length of each side.

### The perimeter of a regular dodecagon is 108 . Find the length of each side.

### Solve . Write a reason for each step.

### Solve . Write a reason for each step.

### Is the relation shown below a function ? Explain

(4,16)(5,25)(3,9)(6,36)(2,4)(1,1)

Note: All functions are relations but all relations are not functions.

### Is the relation shown below a function ? Explain

(4,16)(5,25)(3,9)(6,36)(2,4)(1,1)

Note: All functions are relations but all relations are not functions.

### Is the relation shown below a function ? Explain

All functions are relations but all relations are not functions.

### Is the relation shown below a function ? Explain

All functions are relations but all relations are not functions.

### Is the relation shown below a function ? Explain.

All functions are relations but all relations are not functions.

### Is the relation shown below a function ? Explain.

All functions are relations but all relations are not functions.