This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 10 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Ordered pairs is called what? A) A function. B) A relation. C) The domain. D) The range. Show Answer Correct Answer: B) A relation. 2. An equation is shown.y=-3x-12When the value of the range is-18, what is the value of the domain? A) -2. B) 2. C) 5. D) 36. Show Answer Correct Answer: B) 2. 3. Sophie earned Php 500 for every 90 she got on her report card.The dependent variable is: A) Money. B) Number of 90s on Sophie's report card. C) All the above. D) None of the above. Show Answer Correct Answer: A) Money. 4. Let n(A) m and n(B) = n then the total number of non-empty relations that cane be defined from A to B is A) 2$^{mn}$. B) 2$^{mn}$-1. C) N$^{m}$. D) M$^{n}$. Show Answer Correct Answer: B) 2$^{mn}$-1. 5. You plan to go snowboarding. The resort charges $ 15 an hour in addition to $ 25 to rent a board. Write an equation that represents the cost to go snowboarding for the day. A) 25x+y=15. B) Y=15x-25. C) 15x+25y=100. D) Y=15x+25. Show Answer Correct Answer: D) Y=15x+25. 6. Janet was given the function f(x) = 3/2 x-5. Determine f(6). A) 9. B) -2. C) 13. D) 4. Show Answer Correct Answer: D) 4. 7. In the form y = mx + b, the b represents ..... A) X-intercept. B) Slope. C) Boundary. D) Y-intercept. Show Answer Correct Answer: D) Y-intercept. 8. A x B is the set of all possible ordered pairs between the elements of A and B such that the first coordinate is an A) Element of A. B) Element of B. C) None. D) None of the above. Show Answer Correct Answer: A) Element of A. 9. The collection of all Y-values or outputs are called what? A) Range. B) Solutions. C) Domain. D) Answers. Show Answer Correct Answer: A) Range. 10. Given that f(x) = 4x and g(x) = 3x-5. Find the value of f(2)-g(1) A) 10. B) -12. C) 8. D) 12. Show Answer Correct Answer: A) 10. 11. The value of $\cot\left(\sin^{-1}x\right)$ A) $\frac{1}{x}$. B) $\frac{\left(\sqrt{1+x^2}\right)}{x}$. C) $\frac{\sqrt{1-x^2}}{x}$. D) $\frac{x}{\sqrt{1+x^2}}$. Show Answer Correct Answer: C) $\frac{\sqrt{1-x^2}}{x}$. 12. Mike wants to save money to buy a gift for his mother's birthday. He plans to save Php 10 everyday. What is the dependent variable in the problem? A) The amount Mike will save for his Mother's birthday. B) The number of days Mike will save Php 10. C) The amount he will save everyday. D) None of the above. Show Answer Correct Answer: A) The amount Mike will save for his Mother's birthday. 13. Subset of a catesian product is A) One-one Function. B) Reflexive relation. C) Function. D) Relation. Show Answer Correct Answer: D) Relation. 14. For what value/s of k will (3k, -1) and (k+1, 0), NOT a function? A) 1. B) 0. C) 2. D) $\frac{1}{2}$. Show Answer Correct Answer: D) $\frac{1}{2}$. 15. What is the range of this function? (3, 5) (-3, 4), (1, 9), and (4, 7) A) R:{-3, 1, 3. 4}. B) R:{4, 5, 7, 9}. C) R:{1, 2, 3, 9}. D) None of the above. Show Answer Correct Answer: B) R:{4, 5, 7, 9}. 16. A ONE-ONE FUNCTION IS ALSO CALLED AS ..... A) BIJECTIVE. B) NULL. C) INJECTIVE. D) SURJECTIVE. Show Answer Correct Answer: C) INJECTIVE. 17. What is f(5) for the function f?f(x) = 2(x-7) A) -3. B) 1. C) 3. D) -4. Show Answer Correct Answer: D) -4. 18. Given triangles with sides T1:3, 4, 5; T2:5, 12, 13; T3:6, 8, 10; T4:4, 7, 9 and a relation R in set of triangles defined as R = \{($\Delta$1, $\Delta$2):$\Delta$1 is similar to $\Delta$2\}. Which triangles belong to the same equivalence class? A) T1 and T2. B) T2 and T3. C) T1 and T3. D) T1 and T4. Show Answer Correct Answer: C) T1 and T3. 19. $f\left(x\right)=2x-5\\\\and\\\\g\left(x\right)=-6x+1$ $f\left(4\right)+g\left(5\right)$ A) -26. B) -28. C) 34. D) 32. Show Answer Correct Answer: A) -26. 20. R is a relation from \{11, 12, 13\} to \{8, 10, 12\} defined by y = x-3 . Then, $R^{-1}$ A) { (8, 11), (10, 13) }. B) { (11, 8), (13, 10) }. C) { (10, 13), (8, 11), (8, 10) }. D) None of these. Show Answer Correct Answer: A) { (8, 11), (10, 13) }. 21. What point is represented by g(7) = 14? A) (14, 7). B) (7, 2). C) (2, 7). D) (7, 14). Show Answer Correct Answer: D) (7, 14). 22. In a relation, what term refers to the set of all x-values or inputs? A) Range. B) Ordered pair. C) Domain. D) Ordinate. Show Answer Correct Answer: C) Domain. 23. Given {(3, Prime), (4, Composite), (5, Prime), (6, Composite)}, what is the RANGE? A) {3, 4, 5, 6, Prime, Composite}. B) {Prime}. C) {Prime, Composite}. D) {3, 4, 5, 6}. Show Answer Correct Answer: C) {Prime, Composite}. 24. What is a Universal Relation in a set A? A) No element of A is related to any element of A. B) Each element of A is related to any element of A. C) Some elements of A are related to each other. D) All elements of A are related to each other. Show Answer Correct Answer: B) Each element of A is related to any element of A. 25. This relation is a function. True or false?{(4, 2), (5, 3), (6, 2), (3, 2), (2, 2)} A) False. B) True. C) All the above. D) None of the above. Show Answer Correct Answer: B) True. 26. The admission fee at a carnival is $ 9. Each ride costs $ 1.75. Let r represent the number of rides. What would be the total cost to ride 12 rides? A) $ 109.75. B) $ 21. C) $ 12. D) $ 30. Show Answer Correct Answer: D) $ 30. 27. Evaluate f(-2) if f(x) = x+3 A) -5. B) -1. C) 1. D) 5. Show Answer Correct Answer: C) 1. 28. Give the y-intercepty = 3x + 8 A) (3, 0). B) (8, 0). C) (0, 8). D) (0, 3). Show Answer Correct Answer: C) (0, 8). 29. What is the domain of the function:{(2, 3), (4, 3), (6, 3), (8, 5) A) 2, 4. B) 3, 3, 3, 5. C) 2, 4, 6, 8. D) 3, 5. Show Answer Correct Answer: C) 2, 4, 6, 8. 30. Which of the following represents a Function? A) (3, -4) ; (3, -1) ; (-3, -4). B) (3, 4) ; (4, 3) ; (3, -4). C) (2, -2) ; (4, -2) ; (5, 0). D) (2, -5) ; (4, 0) ; (2, -2). Show Answer Correct Answer: C) (2, -2) ; (4, -2) ; (5, 0). 31. If $f(x)=7x-4$ $f\left(-2\right)$ A) $f\left(-2\right)=17$. B) $f\left(-2\right)=-18$. C) $f\left(-2\right)=-4$. D) $f\left(-2\right)=-25$. Show Answer Correct Answer: B) $f\left(-2\right)=-18$. 32. Graph the function f(x) = |x-1| and identify its vertex. A) The vertex of the function f(x) = |x-1| is (1, 1). B) The vertex of the function f(x) = |x-1| is (0, 1). C) The vertex of the function f(x) = |x-1| is (2, 0). D) The vertex of the function f(x) = |x-1| is (1, 0). Show Answer Correct Answer: D) The vertex of the function f(x) = |x-1| is (1, 0). 33. Is the relation a function? {(4, 5), (4, -7), (4, 2), (4, 0), (4, 9)} A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 34. The domain of the function $y=\sin^{-1}\left(-x^2\right)$ A) $\phi$. B) [0, 1]. C) (0, 1). D) [-1, 1]. Show Answer Correct Answer: D) [-1, 1]. 35. Using this list of ordered pairs, determine if it is a function:$F=\left\{\left(1, 2\right), \left(2, 3\right), \left(3, 4\right), \left(4, 5\right), \left(1, 5\right)\right\}$ A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 36. What is a Hasse diagram and what does it represent? A) A Hasse diagram represents a linear equation in mathematics. B) A Hasse diagram represents a finite partially ordered set, showing the order relations between its elements. C) A Hasse diagram is a tool for creating 3D models of geometric shapes. D) A Hasse diagram is a type of graph used for data visualization. Show Answer Correct Answer: B) A Hasse diagram represents a finite partially ordered set, showing the order relations between its elements. 37. For the function (0, 1), (1, -3), (2, -4), & (-4, 1), which choice gives the correct domain & range? A) D:{0, 1, 2, 3, 4}R:{1, -3, -4}. B) D:{-4, -3, 1}R:{-4, 0, 1, 2}. C) D:{0, 1, 2, -4}R:{1, -3, -4, 1}. D) D:{-4, 0, 1, 2}R:{-4, -3, 1}. Show Answer Correct Answer: D) D:{-4, 0, 1, 2}R:{-4, -3, 1}. 38. Give the domain and range of the relation.{(-2, -1), (-1, 0), (0, -1), (1, 0), (2, -1)} A) D:{-2, -1, 0, 1, 2}R:{-1, 0}. B) D:{-2 < x < 2}R:{-1 < y < 0}. C) D:{-1, 0}R:{-2, -1, 0, 1, 2}. D) D:{-2, -1, 0, 1, 2}R:{-1, -1, -1, 0, 0}. Show Answer Correct Answer: A) D:{-2, -1, 0, 1, 2}R:{-1, 0}. 39. Level 2 Y = 4X + 5 if X =-2What does Y equal? A) 7. B) 3. C) -3. D) -8. Show Answer Correct Answer: C) -3. 40. Relation R in the set A of all the books in a library of a college, given by R = {(x, y):x and y have the same number of pages} is A) Reflexive. B) Symmetric. C) Transitive. D) All of above. Show Answer Correct Answer: D) All of above. 41. Which kind of relation below is a function? A) Many-to-many. B) One-to-many. C) Many-to-one. D) All of the above. Show Answer Correct Answer: C) Many-to-one. 42. True or False:The x-intercept of a function ALWAYS has a zero as the y-coordinate. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 43. A relation that pairs each input with exactly one output is a ..... A) Function. B) Mapping Diagram. C) Output. D) Ordered Pair. Show Answer Correct Answer: A) Function. 44. Which set of values is not a function? A) (2, -2) (5, 9) (-5, -7) (1, 4). B) (9, 5) (10, 5) (4, -5) (8, -5). C) (6, -5) (7, -3) (8, -1) (9, 1). D) (3, 4) (4, -3) (7, 4) (3, 8). Show Answer Correct Answer: D) (3, 4) (4, -3) (7, 4) (3, 8). 45. Define the term 'mapping' in relation to functions. A) Mapping ensures that each element in the codomain has a unique element in the domain. B) Mapping in relation to functions is the process of associating each element in the domain with exactly one element in the codomain. C) Mapping is the process of associating multiple elements in the domain with one element in the codomain. D) Mapping involves connecting elements in the codomain to the domain. Show Answer Correct Answer: B) Mapping in relation to functions is the process of associating each element in the domain with exactly one element in the codomain. 46. Let A = {1, 2, 3} and consider the relation R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1, 3)}. Then R is A) Reflexive but not symmetric. B) Reflexive but not transitive. C) Symmetric and transitive. D) Neither symmetric, nor transitive. Show Answer Correct Answer: A) Reflexive but not symmetric. 47. The origin is represented by the ordered pair ..... A) (0, 0). B) 0. C) (2, 0). D) (0, 1). Show Answer Correct Answer: A) (0, 0). 48. A relation where every input in matches with exactly one output is called what? A) Exponential. B) Linear. C) Function. D) Relation. Show Answer Correct Answer: C) Function. 49. Which of the following sets of ordered pairs defines a function? A) . {(4, 4), (-3, 4), (4, -4), (-3, -4)}. B) {(2, 2), (2, 3), (2, 4), (2, -9)}. C) {(3, 2), (-3, 6), (3, -2), (-3, -6)}. D) {(1, 2), (2, 6), (3, -2), (4, -6)}. Show Answer Correct Answer: D) {(1, 2), (2, 6), (3, -2), (4, -6)}. 50. If f(x) =-4x-5 and g(x) = 3-x, what is g(-4) + f(1)? A) -9. B) -10. C) 7. D) -2. Show Answer Correct Answer: D) -2. 51. What is the range of the relation represented by the ordered pairs {(-2, 8), (1, 6), (4, 4), (7, 2), (10, 0)}? A) {-2, 0, 1, 2, 4, 6, 7, 8, 10}. B) {-2, 13}. C) {0, 2, 4, 6, 8}. D) {-2, 1, 4, 7, 10}. Show Answer Correct Answer: C) {0, 2, 4, 6, 8}. 52. If f(x) = 3x-4 and g(x) = 4x$^{2, }$find f(-7). A) 25. B) -25. C) 17. D) -17. Show Answer Correct Answer: B) -25. 53. If any vertical line passes through the graph of a relation no more than once, then it is a function. A) Vertical Line Test. B) Output. C) Input. D) Function Notation. Show Answer Correct Answer: A) Vertical Line Test. 54. Orin has three sets of ordered pairs. Which of Orin's sets represents functions?I. {(0, 0), (0, 1), (0, 2), (0, 3), (0, 4)II. {(0, 0), (1, 1), (2, 2), (3, 3), (4, 4)III. {(0, 0), (1, 0), (2, 0), (3, 0), (4, 0) A) Set I. B) Sets I and III. C) Sets II and III. D) All of the above. Show Answer Correct Answer: C) Sets II and III. 55. Is the relation a function?{(5, 7), (5, 6), (5, 5), (5, 4)} A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: B) No. 56. The first coordinate of an ordered pair in a relation is the ..... ? A) Function. B) Input. C) Range. D) Output. Show Answer Correct Answer: B) Input. 57. If f:R $\rightarrow$ R be defined by f(x) = 3x$^{2}$-5 and g:R $\rightarrow$ R by g(x) = x/(x$^{2}$ + 1), then g o f is A) 3x$^{2}$/(x$^{4}$ + 2x$^{2}$-4). B) (3x$^{2}$-5)/(9x$^{4}$-30x$^{2}$ + 26). C) 3x$^{2}$/(9x$^{4}$ + 30x$^{2}$-2). D) (3x$^{2}$-5)/(9x$^{4}$-6x$^{2}$ + 26). Show Answer Correct Answer: B) (3x$^{2}$-5)/(9x$^{4}$-30x$^{2}$ + 26). 58. What is the range of the ordered pairs {(3, 4), (4, 5), (5, 6), (6, 7), (7, 8)}? A) {3, 4, 5, 6, 7}. B) {3, 4, 5, 6}. C) {4, 5, 6, 7, 8}. D) {4, 5, 6, 7}. Show Answer Correct Answer: C) {4, 5, 6, 7, 8}. 59. Let A = {1, 2, 3, ..... n} and B = {a, b}. Then the number of surjections from A into B is A) $np_2$. B) $2^n-2$. C) $2^n-1$. D) None of these. Show Answer Correct Answer: B) $2^n-2$. 60. What is a partially ordered relation? A) A binary relation that is only transitive and antisymmetric. B) A relation that is only reflexive and symmetric. C) A binary relation that is reflexive, antisymmetric, and transitive. D) A binary relation that is symmetric and transitive. Show Answer Correct Answer: C) A binary relation that is reflexive, antisymmetric, and transitive. ← 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 7Class 11 Mathematics Chapter 2 Relations And Functions Quiz 8 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books