# RD SHARMA Solutions for Class 11-science Maths Chapter 3 - Functions

Page / Exercise

## Chapter 3 - Functions Exercise Ex. 3.1

Question 1

Solution 1

Question 2
Solution 2
Question 3
Solution 3
Question 4

Solution 4

Question 5
Solution 5
Question 6
Solution 6
Question 7
Solution 7
Question 8

Solution 8

Question 9

Solution 9
Question 10
Solution 10
Question 11
Solution 11
Question 12
Solution 12
Question 13
Solution 13
Question 14
Solution 14
Question 15
Solution 15
Question 16
Solution 16
Question 17
Solution 17
Question 18

Express the function f: X ® R given by f (x) = x 3 + 1 as set of ordered pairs, where X = {-1, 0, 3, 9, 7}.

Solution 18

Question 1
Solution 1
Question 2
Solution 2
Question 3
Solution 3
Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9(i)

Solution 9(i)

Question 9(ii)

Solution 9(ii)

Question 10

Solution 10

Question 11

Solution 11

## Chapter 3 - Functions Exercise Ex. 3.3

Question 1(i)
Solution 1(i)
Question 1(ii)
Solution 1(ii)
Question 1(iii)
Solution 1(iii)
Question 1(iv)
Solution 1(iv)
Question 1(v)
Solution 1(v)
Question 2

Solution 2

Question 3(i)
Solution 3(i)
Question 3(ii)
Solution 3(ii)
Question 3(iii)

Solution 3(iii)

Question 3(iv)

Solution 3(iv)

Question 3(v)
Solution 3(v)
Question 3(vi)

Solution 3(vi)

Question 3(viii)

find the domain and range of

Solution 3(viii)

Question 3(vii)

Find domain and range of f (x) = -|x|

Solution 3(vii)

As |x|is defined for all real numbers, its domain is R and range is only negative numbers because, |x| is always positive real number for all real numbers and -|x| is always negative real numbers.

Question 1(i)
Solution 1(i)
Question 1(ii)
Solution 1(ii)
Question 2
Solution 2
Question 3
Solution 3
Question 4(i)
Solution 4(i)
Question 4(ii)
Solution 4(ii)
Question 4(iii)

Solution 4(iii)

Question 4(iv)
Solution 4(iv)
Question 4(v)
Solution 4(v)
Question 4(vi)
Solution 4(vi)
Question 4(vii)
Solution 4(vii)
Question 4(viii)
Solution 4(viii)
Question 5

Solution 5

Question 6
Solution 6
Question 7
Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

## Chapter 3 - Functions Exercise Ex. 3VSAQ

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

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