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) For the given function F = {(1,3),(2,5),(4,7),(5,9),(3,1)},write the domain and range. (use , in Answer} Domain = Range =
Answer:_______________ |
| 2) The following table represents a function from A = {3,6,8,12} 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:_______________ |
| 3) Write the pre-images of 4 and 7 in the function ƒ = {(15,4),(17,7),(21,7),(27,4),(41,41)} Pre image of 4 are Pre images of 7 are Answer:_______________ |
| 4) If R = {(l,-3),(i,-9),(5,w),(c,9)} represents the identity function, find thr values of l,i,w,and c. l = i = w = c = Answer:_______________ |
| 5) 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:_______________ |
| 6) The following table represents a function from A = {5,6,7,12} to B = {23,9,13,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = b = Answer:_______________ |
| 7) Write the pre-images of 3 and 6 in the function ƒ = {(12,3),(20,6),(21,6),(29,3),(36,36)} Pre image of 3 are Pre images of 6 are Answer:_______________ |
| 8) If R = {(f,-3),(i,-6),(1,v),(p,7)} represents the identity function, find thr values of f,i,v,and p. f = i = v = p = Answer:_______________ |
| 9) For the given function F = {(4,6),(5,8),(7,10),(8,12),(6,4)},write the domain and range. (use , in Answer} Domain = Range =
Answer:_______________ |
| 10) The following table represents a function from A = {2,6,10,14} to B = {23,3,19,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = b = Answer:_______________ |
| 1) For the given function F = {(1,3),(2,5),(4,7),(5,9),(3,1)},write the domain and range. (use , in Answer} Domain = Answer: 1,2,3,4,5 Range = Answer: 1,3,5,7,9 SOLUTION 1 : Given : F = {(1,3),(2,5),(4,7),(5,9),(3,1)} The domain of F = {1,2,3,4,5}. Since, F(1) = 3, F(2) = 5 F(4) = 7 F(5) = 9 F(3) = 1. The range of F is {1,3,5,7,9}. |
| 2) The following table represents a function from A = {3,6,8,12} 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 = {3,6,8,12} 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 |
| 3) Write the pre-images of 4 and 7 in the function ƒ = {(15,4),(17,7),(21,7),(27,4),(41,41)} Pre image of 4 are Answer: 15,27 Pre images of 7 are Answer: 17,21 SOLUTION 1 : Pre images of 4 are 15 and 27. Pre images of 7 are 17 and 21. |
| 4) If R = {(r,-3),(k,-9),(5,d),(y,9)} represents the identity function, find thr values of r,k,d,and y. r = Answer: -3 k = Answer: -9 d = Answer: 5 y = Answer: 9 SOLUTION 1 : r = -3, k = -9, d = 5 y = 9 |
| 5) 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}. |
| 6) The following table represents a function from A = {5,6,7,12} to B = {23,9,13,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = Answer: 9 b = Answer: 13 SOLUTION 1 : Given ; A = {5,6,7,12} to B = {23,17,9,11} and ƒ: A"B defined as ƒ(x) = 2x - 1. ƒ(5) = 2(5) - 1 = 9 ƒ(5) = 9 ∴ a = 9 ƒ(7) = 2(7) - 1 = 13 ƒ(7) = 13 ∴ b = 13 |
| 7) Write the pre-images of 3 and 6 in the function ƒ = {(12,3),(20,6),(21,6),(29,3),(36,36)} Pre image of 3 are Answer: 12,29 Pre images of 6 are Answer: 20,21 SOLUTION 1 : Pre images of 3 are 12 and 29. Pre images of 6 are 20 and 21. |
| 8) If R = {(i,-3),(x,-6),(1,n),(h,7)} represents the identity function, find thr values of i,x,n,and h. i = Answer: -3 x = Answer: -6 n = Answer: 1 h = Answer: 7 SOLUTION 1 : i = -3, x = -6, n = 1 h = 7 |
| 9) For the given function F = {(4,6),(5,8),(7,10),(8,12),(6,4)},write the domain and range. (use , in Answer} Domain = Answer: 4,5,6,7,8 Range = Answer: 4,6,8,10,12 SOLUTION 1 : Given : F = {(4,6),(5,8),(7,10),(8,12),(6,4)} The domain of F = {4,5,6,7,8}. Since, F(4) = 6, F(5) = 8 F(7) = 10 F(8) = 12 F(6) = 4. The range of F is {4,6,8,10,12}. |
| 10) The following table represents a function from A = {2,6,10,14} to B = {23,3,19,11} where ƒ(x) = 2x - 1. For what value of a and d it represents a one-one function.
a = Answer: 3 b = Answer: 19 SOLUTION 1 : Given ; A = {2,6,10,14} to B = {23,16,9,11} and ƒ: A"B defined as ƒ(x) = 2x - 1. ƒ(2) = 2(2) - 1 = 3 ƒ(2) = 3 ∴ a = 3 ƒ(10) = 2(10) - 1 = 19 ƒ(10) = 19 ∴ b = 19 |