Question

All one-one functions are onto functions. True or false? because, in function from A to B if

n(A)=2 and

n(B)=3

but still all elements in A are mapped but the

range of B is not co-domain​

Answer 1

Step-by-step explanation:

Given that:

All one-one functions are onto functions. True or false?

To find: Statement is true or not

Solution:

The given statement is false.

Definition of one-one (Injective) function:

A function is said to be one-time if each elements of its domain(A) mapped with single element in its range(B) .

Definition of onto (Surjective ) function:

A function is said to be onto functions if all the sample points of its range(B) have a pre-image in its domain(A).

In attachment of Question:

A:{1,2}

B:{a,b,c}

from mapping it is clear that c does not have any pre-image in A,so This function is one-time but not onto.

Hope it helps you.

Answer 2

Answer:

dkmznsgzinNVl.VHh4 True or False: I 5. I f:N N is defined as i f(z) = x ^ 2 the image of 1 and 2 are 6. What is the difference between relation and function? and 7. Let A and B be two non-empty finite sets. Then which one among the following