Home
Class 11
MATHS
Which of the following relations are fun...

Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.(i) `{(2, 1), (5, 1), (8, 1), (11 , 1), (14 , 1), (17 , 1)}`(ii) `{(2, 1), (4, 2), (6, 3), (8, 4),

A

i only

B

ii only

C

i and ii both

D

neither i nor ii

Text Solution

Verified by Experts

The correct Answer is:
A
(i) `{(2, 1), (5, 1), (8, 1), (11 , 1), (14 , 1), (17 , 1)}`
Since 2, 5, 8, 11, 14 and 17 are the elements of the domain of the given relation having their unique images, this relation is a function.
Here, domain = {2, 5, 8, 11, 14, 17} and range = {1}.
(ii) `{(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}` Since 2, 4, 6, 8, 10, 12 and 14 are the elements of the domain of the given relation having their unique images, this relation is a function.
Here, domain = {2, 4, 6, 8, 10, 12, 14} and range = {1, 2, 3, 4, 5, 6, 7}.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    NCERT ENGLISH|Exercise MISCELLANEOUS EXERCISE|12 Videos

  • PROBABILITY

    NCERT ENGLISH|Exercise All Questions|71 Videos

  • SEQUENCES AND SERIES

    NCERT ENGLISH|Exercise EXERCISE 9.5|6 Videos

Similar Questions

Explore conceptually related problems

Which of the following relation are functions? Give reasons. In cane of a function, determine its domain and range. {(1,-2),(3,7),(4,-6),(8,11)}

Which of the following relation are functions? Give reasons. In cane of a function, determine its domain and range. {(1,0),(1,-1),(2,3),(4,10)}

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not ? (i) R={(4,1),(5,1),(6,7)} (ii) R={(2,3),(2,5),(3,3),(6,6)} (iii) R={(1,2),(2,3),(3,4),(4,5),(5,6),(6,7)} (iv) R={(1,1),(2,1),(3,1),(4,1),(5,1)}

Examine which of the following relations (defined on subsets of Z) are functions (i) f = {(2, 1), (2, 3), (4, 3), (1, 2)} (ii) g = {(2, 1), (4, 2), (6, 3), (8,4), (10, 5)}

Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not?(i) R= {(2, 1), (3,1), (4,2)} , (ii) R= {(2, 2), (2, 4), (3,3), (4,4)} (iii) R= {(1, 2

Determine the domain and range of the following relations : {(-3,1),(-1,1),(1,0),(3,0)}

Name the type of quadrilateral formed, if any, by the following points, and give reasons for your answer: (i) (– 1, – 2), (1, 0), (– 1, 2), (– 3, 0) (ii) (–3, 5), (3, 1), (0, 3), (–1, – 4) (iii) (4, 5), (7, 6), (4, 3), (1, 2)

Let A = {1, 2, 3, 4}. Examine which of the following relations is a function from A to A ? (i) f = {(1, 1), (2, 3), (3, 4), (4, 4)} (ii) g = {1, 4), (2, 3), (3, 4)}

Check whether the following relations are functions or not: R_(1)={(2,1),(5,1),(8,1),(11,1),(14,1),(17,1)} R_(2)={(2,1),(4,2),(6,3),(8,4),(10,5),(12,6),(14,7)} R_(3)={(1,3),(1,5),(2,5)}

I is the set of integers. Deseribe the following relations in words, giving its domain and range. {(0,0),(1,-1),(2,-2),(3,-3)......}

Home
Profile