Written Instructions:
For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..
For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.
Leave your answers in the simplest form or correct to two decimal places.
| 1) The following table represents a function from A = {3,6,7,12} to B = {21,5,13,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = b = Answer:_______________ |
| 2) For the given function F = {(5,7),(6,9),(8,11),(9,13),(7,5)},write the domain and range. (use , in Answer} Domain = Range =
Answer:_______________ |
| 3) Write the pre-images of 3 and 9 in the function ƒ = {(13,3),(18,9),(23,9),(27,3),(33,33)} Pre image of 3 are Pre images of 9 are Answer:_______________ |
| 4) If R = {(s,-2),(f,-6),(3,x),(o,6)} represents the identity function, find thr values of s,f,x,and o. s = f = x = o = Answer:_______________ |
| 5) The following table represents a function from A = {3,6,10,13} to B = {21,5,19,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = b = Answer:_______________ |
| 6) For the given function F = {(2,4),(3,6),(5,8),(6,10),(4,2)},write the domain and range. (use , in Answer} Domain = Range =
Answer:_______________ |
| 7) Write the pre-images of 5 and 7 in the function ƒ = {(15,5),(17,7),(23,7),(31,5),(44,44)} Pre image of 5 are Pre images of 7 are Answer:_______________ |
| 8) If R = {(e,-4),(v,-9),(3,z),(h,6)} represents the identity function, find thr values of e,v,z,and h. e = v = z = h = Answer:_______________ |
| 9) The following table represents a function from A = {3,6,8,14} to B = {22,5,15,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = b = Answer:_______________ |
| 10) For the given function F = {(3,5),(4,7),(6,9),(7,11),(5,3)},write the domain and range. (use , in Answer} Domain = Range =
Answer:_______________ |
| 1) The following table represents a function from A = {3,6,7,12} to B = {21,5,13,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = Answer: 5 b = Answer: 13 SOLUTION 1 : Given ; A = {3,6,7,12} to B = {21,15,9,11} and ƒ: A"B defined as ƒ(x) = 2x - 1. ƒ(3) = 2(3) - 1 = 5 ƒ(3) = 5 ∴ a = 5 ƒ(7) = 2(7) - 1 = 13 ƒ(7) = 13 ∴ b = 13 |
| 2) For the given function F = {(5,7),(6,9),(8,11),(9,13),(7,5)},write the domain and range. (use , in Answer} Domain = Answer: 5,6,7,8,9 Range = Answer: 5,7,9,11,13 SOLUTION 1 : Given : F = {(5,7),(6,9),(8,11),(9,13),(7,5)} The domain of F = {5,6,7,8,9}. Since, F(5) = 7, F(6) = 9 F(8) = 11 F(9) = 13 F(7) = 5. The range of F is {5,7,9,11,13}. |
| 3) Write the pre-images of 3 and 9 in the function ƒ = {(13,3),(18,9),(23,9),(27,3),(33,33)} Pre image of 3 are Answer: 13,27 Pre images of 9 are Answer: 18,23 SOLUTION 1 : Pre images of 3 are 13 and 27. Pre images of 9 are 18 and 23. |
| 4) If R = {(s,-2),(b,-6),(3,f),(d,6)} represents the identity function, find thr values of s,b,f,and d. s = Answer: -2 b = Answer: -6 f = Answer: 3 d = Answer: 6 SOLUTION 1 : s = -2, b = -6, f = 3 d = 6 |
| 5) The following table represents a function from A = {3,6,10,13} to B = {21,5,19,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = Answer: 5 b = Answer: 19 SOLUTION 1 : Given ; A = {3,6,10,13} to B = {21,16,9,11} and ƒ: A"B defined as ƒ(x) = 2x - 1. ƒ(3) = 2(3) - 1 = 5 ƒ(3) = 5 ∴ a = 5 ƒ(10) = 2(10) - 1 = 19 ƒ(10) = 19 ∴ b = 19 |
| 6) For the given function F = {(2,4),(3,6),(5,8),(6,10),(4,2)},write the domain and range. (use , in Answer} Domain = Answer: 2,3,4,5,6 Range = Answer: 2,4,6,8,10 SOLUTION 1 : Given : F = {(2,4),(3,6),(5,8),(6,10),(4,2)} The domain of F = {2,3,4,5,6}. Since, F(2) = 4, F(3) = 6 F(5) = 8 F(6) = 10 F(4) = 2. The range of F is {2,4,6,8,10}. |
| 7) Write the pre-images of 5 and 7 in the function ƒ = {(15,5),(17,7),(23,7),(31,5),(44,44)} Pre image of 5 are Answer: 15,31 Pre images of 7 are Answer: 17,23 SOLUTION 1 : Pre images of 5 are 15 and 31. Pre images of 7 are 17 and 23. |
| 8) If R = {(m,-4),(y,-9),(3,h),(q,6)} represents the identity function, find thr values of m,y,h,and q. m = Answer: -4 y = Answer: -9 h = Answer: 3 q = Answer: 6 SOLUTION 1 : m = -4, y = -9, h = 3 q = 6 |
| 9) The following table represents a function from A = {3,6,8,14} to B = {22,5,15,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = Answer: 5 b = Answer: 15 SOLUTION 1 : Given ; A = {3,6,8,14} to B = {22,17,9,11} and ƒ: A"B defined as ƒ(x) = 2x - 1. ƒ(3) = 2(3) - 1 = 5 ƒ(3) = 5 ∴ a = 5 ƒ(8) = 2(8) - 1 = 15 ƒ(8) = 15 ∴ b = 15 |
| 10) For the given function F = {(3,5),(4,7),(6,9),(7,11),(5,3)},write the domain and range. (use , in Answer} Domain = Answer: 3,4,5,6,7 Range = Answer: 3,5,7,9,11 SOLUTION 1 : Given : F = {(3,5),(4,7),(6,9),(7,11),(5,3)} The domain of F = {3,4,5,6,7}. Since, F(3) = 5, F(4) = 7 F(6) = 9 F(7) = 11 F(5) = 3. The range of F is {3,5,7,9,11}. |