This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 7 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 7 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Verify if the relation {(1, 2), (2, 3), (1, 4)} is a function. A) Sometimes. B) Yes. C) No. D) Maybe. Show Answer Correct Answer: C) No. 2. The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean? A) After 5 week the plant is 4 inches tall. B) The plant grows at a rate of 5/4 inch per week. C) After 4 weeks the plant is 5 inches tall. D) The plant grows at a rate of 1 inch per week. Show Answer Correct Answer: C) After 4 weeks the plant is 5 inches tall. 3. For the set A = {1, 2, 3}, define a relation R in the set A as follows:R = {(1, 1), (2, 2), (3, 3), (1, 3)}.Write the ordered pairs to be added to R to make it the smallest equivalence relation. A) (3, 1), (1, 2). B) (3, 2), (1, 2). C) (3, 1). D) (3, 2). Show Answer Correct Answer: C) (3, 1). 4. For the function f(x) =-3(x-1) find f(0). A) 3. B) -1. C) 0. D) -3. Show Answer Correct Answer: A) 3. 5. A function is a relation. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 6. A relation pairs each input with exactly one output is a A) Congruence. B) Mathematical equation. C) Similarity. D) Function. Show Answer Correct Answer: D) Function. 7. The difference (d) between consecutive terms in an arithmetic sequence A) Arithmetic Sequence Formula. B) Common Difference. C) Arithmetic Sequence. D) Zeros. Show Answer Correct Answer: B) Common Difference. 8. Evaluate the function for the given value:$f\left(x\right)=x^2+4$ $f\left(-3\right)$ A) 7. B) -5. C) 1. D) 13. Show Answer Correct Answer: D) 13. 9. What is the domain of the relation {(-3, 3), (-1, 0), (6, 3), (9, -2)}? A) {-3, -2, -1}. B) {3, 6, 9}. C) {-3, -1, 6, 9}. D) {-2, 0, 3}. Show Answer Correct Answer: C) {-3, -1, 6, 9}. 10. G(x)=3x+4h(x)=3x-1Find g(h(x)) A) 9x+1. B) -9x+11. C) 4x$^{2}$+4x. D) 9x+11. Show Answer Correct Answer: A) 9x+1. 11. Which of the following functions from Z into Z are bijections A) F(x) = $x^2$. B) F(x) = x+2. C) F(x) = $x^3$. D) F(x) = 2x +1. Show Answer Correct Answer: B) F(x) = x+2. 12. A function of x consists of five ordered pairs of the form (x, y). Four of the ordered pairs are shown below.(1, 9), (3, 19), (5, 29), (7, 39)Which could be the 5th ordered pair of the function? A) (3, 9). B) (1, 49). C) (9, 5). D) (5, 19). Show Answer Correct Answer: C) (9, 5). 13. If f(2) = 4, what is the ordered pair for the function? A) (4, 2). B) (2, 4). C) (2, 0). D) (0, 4). Show Answer Correct Answer: B) (2, 4). 14. Simplify:20n + 4 + 5 + 7n A) 24n + 12. B) 27n + 9. C) 36n. D) 24n + 2n. Show Answer Correct Answer: B) 27n + 9. 15. If A is a finite set containing 3 different elements, then the number of relations on A is equal to A) 256. B) 9. C) 512. D) 6. Show Answer Correct Answer: C) 512. 16. Given set A = {a, b, c). An identity relation in set A is A) R= {(c, a), (b, a), (a, a)}. B) R = {(a, a), (b, b), (c, c)}. C) R = {(a, b), (a, c)}. D) R = {(a, a), (b, b), (c, c), (a, c)}. Show Answer Correct Answer: B) R = {(a, a), (b, b), (c, c)}. 17. Given {(3, Prime), (4, Composite), (5, Prime), (6, Composite)}, what is the DOMAIN? A) {Prime}. B) {3, 4, 5, 6}. C) {3, 4, 5, 6, Prime, Composite}. D) {Prime, Composite}. Show Answer Correct Answer: B) {3, 4, 5, 6}. 18. A plane divided into four regions by horizontal and vertical number lines that is used for graphing A) Coordinate plane. B) Range. C) Domain. D) Quadrants. Show Answer Correct Answer: A) Coordinate plane. 19. Which relation has a domain of {3, 5, 8}? A) {(3, 5), (5, 8), (1, 2)}. B) {(8, 8), (5, 3), (5, 8)}. C) {(5, 1), (3, 4), (8, 2)}. D) None of the above. Show Answer Correct Answer: C) {(5, 1), (3, 4), (8, 2)}. 20. Identify if this ordered pair a function or relation, then what should be the reason for your answer:J={(3, -5), (2, -3), (1, -1), (0, 1), (-1, 3), (-2, 5)}. A) Function. They are all alike. B) Relation. Number 3 is repeated twice. C) Function. It composed of different x and y values. D) Relation. There is no such thing like this. Show Answer Correct Answer: C) Function. It composed of different x and y values. 21. The range is the dependent variable or output. True or False. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 22. Consider the function:{(3, 11), (4, 18), (5, 27), (6, 38)} What is the Domain? A) {3, 4, 5, 6}. B) {11, 18, 27, 38}. C) {4, 11, 5, 18}. D) {3, 11, 4, 18}. Show Answer Correct Answer: A) {3, 4, 5, 6}. 23. Which of the following is a function? A) $x+9y=-3$. B) $2x^3+3=1$. C) $x^3-3y^3=0$. D) $x^2+7y=9$. Show Answer Correct Answer: A) $x+9y=-3$. 24. If f(x) =-3x-8, find f(-1). A) F(-1) =-10. B) F(-1) =-5. C) F(-1) = 5. D) F(-1) =-12. Show Answer Correct Answer: B) F(-1) =-5. 25. Graph the function f(x) = 2x + 3. What is its slope? A) -2. B) 3. C) 1. D) 2. Show Answer Correct Answer: D) 2. 26. Distinct element of A have distinct images in B A) Many to one Function. B) 1-1 Function. C) Onto Function. D) Into Function. Show Answer Correct Answer: B) 1-1 Function. 27. Let R be a relation on set of lines as L$_{1}$ R L$_{2}$ if L$_{1}$ is perpendicular to L$_{2}$. Then A) R is Reflexive. B) R is Transitive. C) R is equivalence relation. D) R is Symmetric. Show Answer Correct Answer: D) R is Symmetric. 28. What is the graph of a signum function? A) Straight line passing through the origin. B) Curve with varying degrees. C) Horizontal line. D) Step function. Show Answer Correct Answer: D) Step function. 29. F={(1, a), (2, b), (3, c), (4, d)} is this a function?? A) Function. B) Not a function. C) All the above. D) None of the above. Show Answer Correct Answer: A) Function. 30. F (x ) = (x+1)$^{3}$ +(x-1)$^{3}$ represents a function which is A) Linear. B) Reciprocal. C) Cubic. D) Quadratic. Show Answer Correct Answer: D) Quadratic. 31. The ..... is all possible x values. A) Domain. B) Output. C) Range. D) Function. Show Answer Correct Answer: A) Domain. 32. What is the value of f(x) if f(x) = 2x + 3 and x = 5? A) 8. B) 15. C) 10. D) 13. Show Answer Correct Answer: D) 13. 33. If f(x) = x$^{3}$-(1/x$^{3}$), then f(x) + f(1/x) is equal to A) 1. B) 2/x$^{3}$. C) 0. D) 2x$^{3}$. Show Answer Correct Answer: C) 0. 34. Describe the transformation that occurredp(x) = f(x + 3) A) Right 3 units. B) Left 3 units. C) Vertical Stretch. D) Up 3 units. Show Answer Correct Answer: B) Left 3 units. 35. True or false?Domain means y-axis and Range means x-axis? A) I don't know. B) False. C) Maybe. D) True. Show Answer Correct Answer: B) False. 36. If n (A) = p, n(B) = q, then the total number of relations that exist from A to B is ..... A) 1. B) Pq. C) 2. D) 2 $^{pq}$. Show Answer Correct Answer: D) 2 $^{pq}$. 37. Given h(x) = 5-9xFind h(8). A) H(8) =-360. B) H(8) =-67. C) All the above. D) None of the above. Show Answer Correct Answer: B) H(8) =-67. 38. Given the relation R = {(-1, 1), (0, 3), (-2, -4), (x, 2)}. State the value of x that will make this relation a function. A) X =-2. B) X =-1. C) X = 0. D) X = 2. Show Answer Correct Answer: D) X = 2. 39. Is this a function:G={(1, -10), (3, -30), (5, -50), (7, -70), (10, -100)} A) Yes. B) No. C) Maybe. D) None of the above. Show Answer Correct Answer: A) Yes. 40. On the graph, you should connect the dots. A) Discrete. B) Continuous. C) All the above. D) None of the above. Show Answer Correct Answer: B) Continuous. 41. Evaluate f(x)=3x-8 when x = 6. A) -8. B) Answer not here. C) -144. D) 10. Show Answer Correct Answer: D) 10. 42. For the function f(x) = 4x + 2, find x such that f(x) = 2. A) 10. B) 0. C) -2. D) 2. Show Answer Correct Answer: B) 0. 43. Let f:R $\rightarrow$ R be defined by f(x) = 3x-4. Then f$^{-1}$ (x) is given by A) (x + 4)/3. B) (x/3)-4. C) 3x + 4. D) None of these. Show Answer Correct Answer: A) (x + 4)/3. 44. Which ordered pair does NOT belong to the function g(x)=3x-6.(Hint:Looking for the wrong answer) A) (-2, -12). B) (1, -3). C) (0, 6). D) (2, 0). Show Answer Correct Answer: C) (0, 6). 45. A relation is called an equivalence relation if it is ..... , ..... , and ..... A) Reflexive, symmetric, and transitive. B) Irreflexive, asymmetric, and transitive. C) Reflexive, asymmetric, and antisymmetric. D) Symmetric, antisymmetric, and transitive. Show Answer Correct Answer: A) Reflexive, symmetric, and transitive. 46. Let A = \{1, 2, 3, 4\} and B = \{4, 8, 9, 10\}. A function f:A $\longrightarrow$ A) One-to-one function. B) Many-one function. C) Identity function. D) Into function. Show Answer Correct Answer: A) One-to-one function. 47. Let A = {M, A, T, H} and B = {1, 2, 3, 4, 5}. Given the relation of every consonant in set A to every odd numbers in set B. Which of the following is not included in the given relation? A) (A, 5). B) (M, 5). C) (T, 3). D) (H, 1). Show Answer Correct Answer: A) (A, 5). 48. If there are 1024 relarions from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is A) 2. B) 4. C) 8. D) 3. Show Answer Correct Answer: A) 2. 49. The point at which the x and y-axis intersect on the coordinate plane; (0, 0) A) X-coordinate. B) Origin. C) Y-coordinate. D) Ordered Pair. Show Answer Correct Answer: B) Origin. 50. Which of the following is an example of a function? A) The rule which assigns to each person his/her birth month. B) The rule which assigns to each person the name of his uncle. C) The rule which assigns to each cellular phone unit its phone number. D) None of the above. Show Answer Correct Answer: D) None of the above. 51. A value substituted for an x-value in a function A) Output. B) Vertical Line Test. C) Input. D) Function Notation. Show Answer Correct Answer: C) Input. 52. What is a continuous Graph A) A function graphed with a line or smooth curve. B) A function graphed with a line or rough curve. C) Freckle. D) A function graphed with a circle or a smooth curve. Show Answer Correct Answer: A) A function graphed with a line or smooth curve. 53. The set of all first coordinates (or x-values) of a relation or function A) Domain. B) Zeros. C) Range. D) Ordered pair. Show Answer Correct Answer: A) Domain. 54. The range of the relation R = \{(x, x$^{2}$) | x is a prime number less than 13\} is A) {1, 4, 9, 25, 49, 121}. B) {4, 9, 25, 49, 121}. C) {2, 3, 5, 7}. D) {2, 3, 5, 7, 11}. Show Answer Correct Answer: B) {4, 9, 25, 49, 121}. 55. What does it mean to find the inverse of a function? A) The x's and y's are switched. B) The x's and y's are divided by 2. C) The x's and y's are made negative. D) The x's and y's are the same. Show Answer Correct Answer: A) The x's and y's are switched. 56. Verify which ordered pair is a one-to-one correspondence. A) {( 1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}. B) {( 3, 2), (4, 2), (5, 2), (6, 2), (7, 2)}. C) {(5, 5, 5, 5, 5)}. D) {(-1, 2), (-1, 3), (-1, 4), (-1, 5), (-1, 6)}. Show Answer Correct Answer: A) {( 1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}. 57. If y is a function of x, then the domain is the set values of ..... and the range is the set value of ..... A) X and y respectivelly. B) Y and x respectivelly. C) Both above. D) None of these. Show Answer Correct Answer: A) X and y respectivelly. 58. AXB = BXA. Is this possible? A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 59. A set of ordered pairs is called a/an ..... A) Relation. B) Vertical Line Test. C) Function. D) Expression. Show Answer Correct Answer: A) Relation. 60. What is the graph of a constant function? A) Vertical line. B) Horizontal line. C) Straight line passing through the origin. D) Parabola. Show Answer Correct Answer: B) Horizontal line. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 2 Relations And Functions Quiz 1Class 11 Mathematics Chapter 2 Relations And Functions Quiz 2Class 11 Mathematics Chapter 2 Relations And Functions Quiz 3Class 11 Mathematics Chapter 2 Relations And Functions Quiz 4Class 11 Mathematics Chapter 2 Relations And Functions Quiz 5Class 11 Mathematics Chapter 2 Relations And Functions Quiz 6Class 11 Mathematics Chapter 2 Relations And Functions Quiz 8Class 11 Mathematics Chapter 2 Relations And Functions Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books