A -1-2-3 and B - a - b - c - Which of the following is a function from A to B -A- 1- a-2- b-2- cB- a - 1- b - 2- c - 3C- 1- a -2- b -2- c -3- a D- 1- b-2- b-3- a

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Definition of Functions

A =1,2,3 and ...

Question

A = {1,2,3} and B = {a,b,c} . Which of the following is a function from A to B?

{ (1,a), (2,b), (2,c) }

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{ (a,1), (b,2), (c,3) }

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{ (1,a), (2,b), (2,c), (3,a) }

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{ (1,b), (2,b), (3,a) }

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Solution

The correct option is D
{ (1,b), (2,b), (3,a) }

option (a) is not a function as 2 has multiple images and 3 has no image.

option (b) is a function from B to A.

option (c) is not a function as 2 has multiple images.

option (d) is a function from A to B.

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A = {1,2,3} and B = {a,b,c} . Which of the following is a function from A to B?

The correct option is D { (1,b), (2,b), (3,a) } option (a) is not a function as 2 has multiple images and 3 has no image. option (b) is a function from B to A. option (c) is not a function as 2 has multiple images. option (d) is a function from A to B.

The correct option is D
{ (1,b), (2,b), (3,a) }

option (a) is not a function as 2 has multiple images and 3 has no image.

option (b) is a function from B to A.

option (c) is not a function as 2 has multiple images.

option (d) is a function from A to B.