(b) The function f(x) is defined as x

(c) The function p(x)=x+1 and q(x)=2x-1.The value (f/g)x is ______

(d) The Function q(x)=6x

(2) The relation defined as {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)} is not a function

(3) The relation defined as {(1, 3), (1, 5), (2, 5)} is a function

(4) The below graph is not a function

(5) A function are relations but all relations are not functions

(6) A function is defined as

$f(x) =- \sqrt {-2x+5)}$

The domain is x≤ 5/2 and Range is f(x) ≤ 0

(7) P= {1,2,3} Q={e,f}. The total number of relation from P × Q is 64

(8) The below graph is a function

(9) The below graph is not a function

(10) The ordered pair {(x,y)|y < 3x+1} is a function

(11) The ordered pair {(x,y)|y=x

(12) The ordered pair {(x,y)| x=3 and y is real number} is a relation and function

Solution

(1) y=x

(2) y=-|x|

(3) y=3x-7

(4) y=-x

(5) $y= \sqrt {2-x)$

(6) $y =\frac {1}{ \sqrt {11-x}}$

(i) What is the number of element in A × B

(ii) How many number of relations can be found from A × C

(iii) The mapping defined as {(1,11),{1,13},{2,7},{5,11} is a function from A × B,State True or False

(iv) The mapping defined as {(11,17),(13,19),(15,21),(15,23)} is a Relation from C × D, State True or False

(v) Find the value of B × C and C × B

(vi) Find the value of E × E × E

(vii) Verify that A × (B ∩ C) = (A × B) ∩ (A × C)

(viii) A X B is a subset of A X C. State True or false

(ix) (A X B) ∩ (B ∪ D)

(a) 8

(b) 6

(c) -3

(d) 1

Solution

2. Let n (A) = m, and n (B) = n. Then the total number of non-empty relations that can be defined from A to B is

(a) $m^n$

(b) mn- 1

(c) $2^{mn} -1$

(d) $n^m -1}$

Solution

3. The domain and range of real function f defined by f (x) = $\sqrt {x −1}$ is given by

(A) Domain = (1, ∞), Range = (0, ∞)

(B) Domain = [1, ∞), Range = (0, ∞)

(C) Domain = [1, ∞), Range = [0, ∞)

(D) Domain = [1, ∞), Range = [0, ∞)

Solution

2. Please tell if the below mapping is function or not

Let P={(0,5),(1,4),(2,3),(3,2),(4,1),(5,0)}

Q={(1,1),(2,4),(3,9),(4,16),(5,25),(6,36)}

1.What is the domain and range of P

2.What is the domain and range of Q

3. What is the domain of function (Q-P)

4. List the ordered pair of (Q-P) in set notation

5. What is the domain of Q/P

6. List the ordered pair of (Q/P) in set notation

Solution Download Relations and functions class 11 Worksheets as pdf

- Cartesian Products
- |
- What is relations?
- |
- What is Function
- |
- Domain of Function
- |
- Range of Function
- |
- Identity Function
- |
- Constant Function
- |
- Linear Function
- |
- Modules Function
- |
- Greatest Integer Function
- |
- Polynomial Function
- |
- Algebra of Real Function

Class 11 Maths Class 11 Physics

Thanks for visiting our website. From feedback of our visitors we came to know that sometimes you are not able to see the answers given under "Answers" tab below questions. This might happen sometimes as we use javascript there. So you can view answers where they are available by reloding the page and letting it reload properly by waiting few more seconds before clicking the button.

We really do hope that this resolve the issue. If you still hare facing problems then feel free to contact us using feedback button or contact us directly by sending is an email at **[email protected]**

We are aware that our users want answers to all the questions in the website. Since ours is more or less a one man army we are working towards providing answers to questions available at our website.