This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 4 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 4 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. ..... of three functions is always associative . A) Modulus. B) Cartesian product. C) Composition. D) Relations. Show Answer Correct Answer: C) Composition. 2. Given a graph, this test is used to determine whether a relation is a function A) Function notation. B) Horizontal line test. C) Mapping. D) Vertical line test. Show Answer Correct Answer: D) Vertical line test. 3. The domain or input is the independent variable. True or False A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 4. The admission fee at a carnival is $ 9. Each ride costs $ 1.75. Let r represent the number of rides. Identify the dependent variable. A) Number of rides. B) Total cost. C) Carnivals. D) Admission fee. Show Answer Correct Answer: B) Total cost. 5. Which equation represents the values of the ordered pairs below? x:-1 0 1 2 3 y:-1 1 3 5 7 A) Y = x-1. B) Y = x + 2. C) Y = x + 1. D) Y = 2x +1. Show Answer Correct Answer: D) Y = 2x +1. 6. Which of the following relations represents y as a function of x?I. {(1, 4), (2, 5), (3, 6)}II. {(1, 4), (2, 4), (3, 4)}III. {(1, 4), (2, 4), (1, 3)}IV. {(1, 4), (1, 2), (1, 3)} A) I, II, and III only. B) II and IV only. C) III and IV only. D) I and II only. Show Answer Correct Answer: D) I and II only. 7. F(x)=2x+1If f(x)=4, what is the value of x? A) 2. B) 4. C) 1/2. D) 3/2. Show Answer Correct Answer: D) 3/2. 8. What is $f\left(0\right)$ $f\left(x\right)=2x+3$ A) 10. B) 2x. C) -3. D) 3. Show Answer Correct Answer: D) 3. 9. Two or more elements of A have same image in B A) Bijection. B) Many to one Function. C) Identity. D) Constant. Show Answer Correct Answer: B) Many to one Function. 10. Let A = {1, 2, 3} and B = {5, 7}. Then A x B = A) (1, 5), (1, 7), (2, 5), (2, 7), (3, 5), (3, 7). B) {(1, 5), (1, 7), (2, 5), (2, 7), (3, 5), (3, 7)}. C) {(1, 5), (1, 7), (2, 5), (2, 7), (3, 5)}. D) {(1, 2), (1, 3), (2, 1), (2, 3), (3, 1), (3, 2), (5, 7)}. Show Answer Correct Answer: B) {(1, 5), (1, 7), (2, 5), (2, 7), (3, 5), (3, 7)}. 11. What is a Discrete Graph? A) A graph that consists of points that are connected. B) A chart that consists of points that are connected. C) A graph that consists of points that are not connected. D) Relation. Show Answer Correct Answer: C) A graph that consists of points that are not connected. 12. $\tan^{-1}\sqrt{3}-\sec^{-1}\left(-2\right)=$ A) $\pi$. B) $-\frac{\pi}{3}$. C) $\frac{\pi}{3}$. D) $\frac{2\pi}{3}$. Show Answer Correct Answer: B) $-\frac{\pi}{3}$. 13. Let $g\left(x\right)=\frac{8x-11}{3}$ $g\left(\frac{1}{4}\right)$ A) $-3$. B) $6$. C) $\frac{13}{3}$. D) $-5$. Show Answer Correct Answer: A) $-3$. 14. The domain and range of the real function f defined by f(x) = (4-x)/(x-4) is given by A) Domain = R-{-4}, Range = {-1, 1}. B) Domain = R-{1}, Range = R. C) Domain = R-{4}, Range = {-1}. D) Domain = R, Range = {-1, 1}. Show Answer Correct Answer: C) Domain = R-{4}, Range = {-1}. 15. Following relation is:Relation on set Z of all Integer numbers defined as R= {(x, y):x-y is an integer} A) Equivalence. B) Symmetric and Reflexive. C) Transitive and reflexive. D) None. Show Answer Correct Answer: A) Equivalence. 16. Let R be a relation on the set N of natural numbers defined by nRm if ndivides m. Then R is A) Reflexive and symmetric. B) Transitive and symmetric. C) Equivalence. D) Reflexive, transitive but notsymmetric. Show Answer Correct Answer: D) Reflexive, transitive but notsymmetric. 17. All of the x-coordinates or inputs are called what? A) Range. B) Domain. C) Function. D) Relation. Show Answer Correct Answer: B) Domain. 18. Is this relation a function:{(2, 3), (4, 3), (6, 3), (8, 5) A) Yes, because none of the y coordinate (outputs) repeat itself. B) Yes, because none of the x-coordinates (inputs) repeat itself. C) No, because the y-coordinate of 3 repeats itself. D) No, because the x-coordinates repeat itself. Show Answer Correct Answer: B) Yes, because none of the x-coordinates (inputs) repeat itself. 19. In an identity relation, every element is related to ..... A) Another element. B) Its opposite. C) The domain. D) Itself. Show Answer Correct Answer: D) Itself. 20. Let R be the relation in the set N given by R = {(a, b):a = b-2, b > 6}, Then A) (2, 4) $\in$. B) (6, 8) undefined R. C) (3, 8) undefined R. D) (8, 7) undefined R. Show Answer Correct Answer: B) (6, 8) undefined R. 21. Which of the following sets of ordered pairs is a function? A) {(0, 1), (0, 2), (0, 3), (0, 4), (0, 5)}. B) {(1, 2), (3, 4), (5, 6), (7, 8), (1, 9)}. C) {(-2, 7), (7, -2), (-3, -9), (-4, -2), (3, 2)}. D) None of the above. Show Answer Correct Answer: C) {(-2, 7), (7, -2), (-3, -9), (-4, -2), (3, 2)}. 22. Any set of ordered pairs A) Domain. B) Function. C) Range. D) Relation. Show Answer Correct Answer: D) Relation. 23. Identify if this ordered pair a function or relation, then what should be the reason for your answer:I={(4, 3), (-1, 2), (3, 5), (4, -7), (8, 10), (-3, 2)}. A) Relation. It has no repetition of x values. B) Function. No common x-coordinates exist in the given set. C) Function. It has positive values in some coordinates. D) Relation. There are common elements in the given set. Show Answer Correct Answer: D) Relation. There are common elements in the given set. 24. A student creates a function to represent the cost of pencils available for purchase at the school store. the store charges 5 cents a pencil for up to 20 pencils.What is the domain of this function? A) All integers drom 0 to 20. B) Al real numbers from 0 to 20. C) All integer multiples of 5 from 5 to 100. D) All real number multiples of 5 from 5 to 100. Show Answer Correct Answer: A) All integers drom 0 to 20. 25. Let R be a relation in the set {1, 2, 3, 4} given by R={(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3, 3), (3, 2)} Then R is A) R is Reflexive and symmetric but not transitive. B) R is Reflexive and transitive but not symmetric. C) R is symmetric and transitive but not reflexive. D) R is an equivalence relation. Show Answer Correct Answer: B) R is Reflexive and transitive but not symmetric. 26. This relation is a function. True or false?{(0, 1), (2, 4), (1, 0), (2, 3), (3, 6)} A) False. B) True. C) All the above. D) None of the above. Show Answer Correct Answer: A) False. 27. This is defined as the correspondence of elements in the Domain to elements in the Range. A) Doman. B) Range. C) Function. D) Relation. Show Answer Correct Answer: D) Relation. 28. What will be the domain for which the functions f(x) = 2x$^{2}$-1 and g(x) = 1-3x are equal? A) {1/2, -2}. B) [2, 12]. C) {-2, 1}. D) (-1, 2). Show Answer Correct Answer: A) {1/2, -2}. 29. If f(x) =-4x + 5 and g(x) = x$^{2}$ + x, find f(3) + g(9). A) 39. B) -83. C) 83. D) -39. Show Answer Correct Answer: C) 83. 30. What is the graph of a greatest integer function? A) Horizontal line. B) Step function. C) Straight line passing through the origin. D) Curve with varying degrees. Show Answer Correct Answer: B) Step function. 31. {(A, B), (B, C), (C, D), (D, E)} A) RANGE. B) NOT FUNCTION. C) FUNCTION. D) DOMAIN. Show Answer Correct Answer: C) FUNCTION. 32. What is the domain of the function h(x) = sqrt(x)? A) Only even numbers. B) All real numbers greater than or equal to 0. C) Integers greater than 0. D) All real numbers less than 0. Show Answer Correct Answer: B) All real numbers greater than or equal to 0. 33. The graph of a linear function is a ..... A) Line. B) Circle. C) Ellipse. D) Parabola. Show Answer Correct Answer: A) Line. 34. If f(x)=3x-1 and g(x)=2x$^{2}$-3, what is the value of f(2)+g(3)? A) 13. B) 5. C) 38. D) 20. Show Answer Correct Answer: D) 20. 35. Carrie wrote a set of ordered pairs to show y as a function of x. {(-2, -4), (1, 8), (3, -1), (5, 7), (-3, 6)}Which ordered pair would make Carrie's set no longer a function? A) (4, 6). B) (3, 2). C) (-4, 9). D) (8, 1). Show Answer Correct Answer: B) (3, 2). 36. The x-value of an ordered pair, represents the horizontal placement of the point. This is called the (a) A) A. x-coordinate. B) X-axis. C) Y-coordinate. D) None of the above. Show Answer Correct Answer: A) A. x-coordinate. 37. Given f(x) = 3x + 7, find f(5). A) 15. B) 22. C) 42. D) None of the above. Show Answer Correct Answer: B) 22. 38. F(x) = $2x^2$ $\frac{1}{3x}$ A) $\frac{1}{6x^2}$. B) $\frac{2}{3x^2}$. C) $\frac{3}{2x^2}$. D) $\frac{2}{9x^2}$. Show Answer Correct Answer: D) $\frac{2}{9x^2}$. 39. A graph that consists of points that are not connected is a ..... A) Vertical line test. B) Function. C) Discrete function. D) Continuous function. Show Answer Correct Answer: C) Discrete function. 40. A pair of numbers or two coordinates used to locate any point on a coordinate plane, written in the form (x, y) A) Range. B) Origin. C) Ordered pair. D) Domain. Show Answer Correct Answer: C) Ordered pair. 41. If g(x) = 2x$^{2}$-4, find g(-2) A) -8. B) 4. C) 0. D) -12. Show Answer Correct Answer: B) 4. 42. For the function f(x) =-3x + 3 find f(0). A) 3. B) -1. C) -3. D) 0. Show Answer Correct Answer: A) 3. 43. Is the relation a function?{(1, 5), (1, 7), (3, 9), (4, 11)} A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 44. Determine if the given relation is a function or not:{(UP, Maroon), (ADMU, Blue), (DLSU, Green), (UST, Yellow)} A) Function. B) Not a function. C) All the above. D) None of the above. Show Answer Correct Answer: A) Function. 45. Nico Robin, a grade 8 student loves to share snack with her closest friends as shown through these pairs:{(Sanji, sandwich), (Nami, sandwich), (Zoro, sandwich)}. Which of the following kinds of relation best describe the given set? A) Many-to-many. B) One-to-one. C) One-to-many. D) Many-to-one. Show Answer Correct Answer: D) Many-to-one. 46. Is this set of ordered pairs a function or not a function? {(-4, -1), (-3, -1), (-2, -3), (-1, 0), (-3, 2)} A) Function. B) Not a function. C) All the above. D) None of the above. Show Answer Correct Answer: B) Not a function. 47. What is the RANGE of a relation? A) The y-values. B) The origin. C) The x-values. D) The ordered pairs. Show Answer Correct Answer: A) The y-values. 48. F:A $\rightarrow$B. If f is onto function then A) A=B. B) Range of f =A. C) Range of f = B. D) A is subset of B. Show Answer Correct Answer: C) Range of f = B. 49. $y=\frac{1}{2}x^2+1$ A) $y=\pm\sqrt{2x-2}$. B) $y=\sqrt{2x+2}$. C) $y=\pm\sqrt{2x-1}$. D) $y=\pm\sqrt{x-2}$. Show Answer Correct Answer: A) $y=\pm\sqrt{2x-2}$. 50. Does the following relation represent a function? {(1, 4), (2, 8), (1, 12), (3, 16)} A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 51. Find $f\left(-4\right)$ $f\left(x\right)=5x-12$ A) 3. B) -32. C) -3. D) -12. Show Answer Correct Answer: B) -32. 52. What are quadrants? A) The 18 regions into which the x and y-axis separate the coordinate plane. B) The 4 regions into which the x and y-axis separate the coordinate plane. C) The 2 regions into which the x and y-axis separate the coordinate plane. D) The 8 regions into which the x and y-axis separate the coordinate plane. Show Answer Correct Answer: B) The 4 regions into which the x and y-axis separate the coordinate plane. 53. Let A= {1, 2, 3} . Then the number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is A) 3. B) 1. C) 2. D) 4. Show Answer Correct Answer: B) 1. 54. Which is not a function? A) Students and their LRN. B) Teachers and the students. C) People and their fingerprints. D) People and their Driver's License. Show Answer Correct Answer: B) Teachers and the students. 55. Number of types of relations A) 2. B) 5. C) 4. D) 3. Show Answer Correct Answer: D) 3. 56. What is a constant function? A) A function that always returns the same value regardless of the input. B) A function that only returns values greater than zero. C) A function that has no output for any input. D) A function that changes its output based on the input. Show Answer Correct Answer: A) A function that always returns the same value regardless of the input. 57. If $g\left(x\right)=-2x^2+9$ $g\left(6\right)$ A) $81$. B) $33$. C) $-15$. D) $-63$. Show Answer Correct Answer: D) $-63$. 58. What is the value of $f(x) = x^2 + 2x-5$ $x = 4$ A) 35. B) 19. C) 27. D) 11. Show Answer Correct Answer: B) 19. 59. On the paper in front of you draw the Cartesian Plane and label the following:y axisx axisoriginquadrant 1quadrant 2quadrant 3quadrant 4Now answer the following question. Which quadrant would you find the point (-3, 2)? A) Quadrant 2. B) Quadrant 1. C) Quadrant 3. D) Quadrant 4. Show Answer Correct Answer: A) Quadrant 2. 60. The number of students who take both the subjects Mathematics and Chemistry is 70. This represents 10% of the enrollment in Mathematics and 14% of the enrollment in Chemistry How many students take at least one of these two subjects? A) 1120. B) Insufficient data. C) 1130. D) 1100. Show Answer Correct Answer: C) 1130. ← 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 5Class 11 Mathematics Chapter 2 Relations And Functions Quiz 6Class 11 Mathematics Chapter 2 Relations And Functions Quiz 7Class 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