Which of the following relations between two sets are functions?
Which of the following relations between two sets are functions?
The correct options are
B
D
In the image given below, the second element in the first set has no image in the second set. Therefore, this relation is not a function.
In the image given below, all the elements in the first set have images, and each element has one and only one image. Therefore, this relation is a function.
In the image given below, the second element of the first set is mapped to two different elements or in other words, it has two images. Therefore, this relation is not a function.
In the image given below, all the elements in the first set have only one image. Therefore, this relation is a function.
Note: In a function, the elements of the first set can have common images but a single element is not allowed to have multiple images.
B
D
In the image given below, the second element in the first set has no image in the second set. Therefore, this relation is not a function.
In the image given below, all the elements in the first set have images, and each element has one and only one image. Therefore, this relation is a function.
In the image given below, the second element of the first set is mapped to two different elements or in other words, it has two images. Therefore, this relation is not a function.
In the image given below, all the elements in the first set have only one image. Therefore, this relation is a function.
Note: In a function, the elements of the first set can have common images but a single element is not allowed to have multiple images.
