This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 6 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the y-intercept of f(x)= 2x$^{2}$ + 4x + 6 A) (0, 6). B) (0, -6). C) (6, 0). D) (-6, 0). Show Answer Correct Answer: A) (0, 6). 2. {(3, 11), (4, 18), (5, 27), (6, 38)} What is the Range? A) {4, 11, 5, 18}. B) {3, 11, 4, 18}. C) {11, 18, 27, 38}. D) {3, 4, 5, 6}. Show Answer Correct Answer: C) {11, 18, 27, 38}. 3. What is the domain of the function {(5, 6), (3, 4), (4, 4), (2, -1)}? A) {6, 4, 4, -1}. B) {5, 6, 3, 4, 2, -1}. C) {5, 3, 4, 2}. D) {6, 4, -1}. Show Answer Correct Answer: C) {5, 3, 4, 2}. 4. Determine if the relation {(1, 2), (2, 3), (1, 3)} is a function. A) Maybe. B) Yes. C) Sometimes. D) No. Show Answer Correct Answer: D) No. 5. Ordered pair contains ..... A) X coordinate. B) Y coordinate. C) Both x and y coordinates. D) None of the above. Show Answer Correct Answer: C) Both x and y coordinates. 6. $y+8=\frac{2}{3}x$ A) Linear. B) Non Linear. C) All the above. D) None of the above. Show Answer Correct Answer: A) Linear. 7. What are the properties of an Equivalence Relation? A) Reflexive, symmetric and transitive. B) Reflexive, antisymmetric and transitive. C) Reflexive, symmetric and non-transitive. D) Reflexive, non-symmetric and transitive. Show Answer Correct Answer: A) Reflexive, symmetric and transitive. 8. Horizontal line intersects the curve atmost one point is A) Function. B) Injection. C) Surjection. D) Bijection. Show Answer Correct Answer: A) Function. 9. Set A has 3 elements and the set B has 4 elements. Then the number of injective functions that can be defined from set A to set B is A) 12. B) 24. C) 64. D) 144. Show Answer Correct Answer: B) 24. 10. Describe the pattern input and output A) The input and output both go down by 3. B) The x goes up 1 and the y goes right 1. C) The x goes right 2 and the y goes up 2. D) There is no pattern. Show Answer Correct Answer: C) The x goes right 2 and the y goes up 2. 11. Which is the value of $f\left(x\right)=x^2-x-1$ A) -2. B) -1. C) -3. D) 1. Show Answer Correct Answer: D) 1. 12. (1, -2) (4, -5) (0, 3) (2, 7)Is this relation a function-yes or no? A) Yes. B) No. C) I have no idea. D) Maybe. Show Answer Correct Answer: A) Yes. 13. A graph consisting of connected lines or curves A) Discrete graph. B) Continuous graph. C) All the above. D) None of the above. Show Answer Correct Answer: B) Continuous graph. 14. A relation that connects every element of set A to every element of set B is called a ..... relation. A) Empty. B) Symmetric. C) Universal. D) Identity. Show Answer Correct Answer: C) Universal. 15. Let A = {1, 2, 3, 4, 5} and B = {x:x is a letter of English alphabet} and a relation R from A to B is defined as R = {(a, b):b is the first letter for the number a}. Here relation R is A) Many one function. B) One-one function. C) Not a function. D) Onto function. Show Answer Correct Answer: A) Many one function. 16. Which of the following would represent a vertical line? A) Y =-5. B) X = 3. C) Y = 4x +3. D) None of the above. Show Answer Correct Answer: B) X = 3. 17. Let R = {(a, a), (b, b), (b, a), (a, b)} be a relation on set A = {a, b, c}. Then, R is A) Symmetric. B) Identity relation. C) Reflexive. D) Equivalence. Show Answer Correct Answer: A) Symmetric. 18. Let R be a relation on N defined by x + 2y = 8. The domain of R is A) {2, 4, 8}. B) {1, 2, 3, 4}. C) {2, 4, 6}. D) {2, 4, 6, 8}. Show Answer Correct Answer: C) {2, 4, 6}. 19. Let us define a relation R in R as aRb if a $\geq$ b. Then R is A) Symmetric, transitive but not reflexive. B) Neither transitive nor reflexive but symmetric. C) Reflexive, transitive but not symmetric. D) An equivalence relation. Show Answer Correct Answer: C) Reflexive, transitive but not symmetric. 20. Which is it? x$^{2}$ + y$^{2}$ =25 A) Linear. B) Non-linear. C) All the above. D) None of the above. Show Answer Correct Answer: B) Non-linear. 21. {(January, 2), (February, 2), (March, 2), (April, 2)} A) RANGE. B) NOT FUNCTION. C) FUNCTION. D) DOMAIN. Show Answer Correct Answer: C) FUNCTION. 22. Which is the set of all y-values or the outputs? A) Domain. B) Relation. C) Function. D) Range. Show Answer Correct Answer: D) Range. 23. Let A = {0, 1, 2, 3} and define a relation R on A as follows:R = {(0, 0), (0, 1), (0, 3), (1, 0), (1, 1), (2, 2), (3, 0), (3, 3)}.Tick the correct statement A) R is symmetric and transitive but not reflexive. B) R is reflexive and symmetric but not transitive. C) R is reflexive and transitive but not symmetric. D) None of the above. Show Answer Correct Answer: B) R is reflexive and symmetric but not transitive. 24. The start up cost to join eTunes music is $ 7.95 plus $ 0.95 per song downloaded. Write a linear equation that could be used to find how many songs he downloaded. A) Y = 0.95x + 7.95. B) Y = 0.95x-7.95. C) Y = 7.95x + 0.95. D) Y =-0.95x + 7.95. Show Answer Correct Answer: A) Y = 0.95x + 7.95. 25. If $\tan^{-1}x=\frac{\pi}{10}, $ $\cot^{-1}x$ A) $\frac{\pi}{5}$. B) $\frac{4\pi}{5}$. C) $\frac{2\pi}{5}$. D) $\frac{3\pi}{5}$. Show Answer Correct Answer: C) $\frac{2\pi}{5}$. 26. Can a function have the same output for different inputs? A) Yes, a function can have the same output for different inputs, but each input must have only one output. B) Yes, a function can have multiple outputs for the same input. C) No, a function cannot have the same output for different inputs. D) Only if the function is not defined. Show Answer Correct Answer: A) Yes, a function can have the same output for different inputs, but each input must have only one output. 27. What is the Origin? A) The meaning of life. B) The point at which the x and y-axis intersect on the coordinate plane (0, 0). C) The point at which the x and y-axis intersect on the coordinate plane (1, 1). D) Carter's Flip Flops. Show Answer Correct Answer: B) The point at which the x and y-axis intersect on the coordinate plane (0, 0). 28. Find f(-3) if $f\left(x\right)=3-2x$ A) 9. B) 12. C) -2. D) -3. Show Answer Correct Answer: A) 9. 29. What is the y-axis A) The question you ask when you have to use a hall pass. B) The horizontal axis on a coordinate plane. C) The four regions into which the x and y-axis separate the coordinate plane. D) The vertical axis on a coordinate plane. Show Answer Correct Answer: D) The vertical axis on a coordinate plane. 30. The domain of the function f:R $\rightarrow$ R defined by f(x) = $\sqrt{4-x^2}$ A) (-2, 2). B) R-[-2, 2]. C) [-2, 2]. D) {-2, 2}. Show Answer Correct Answer: C) [-2, 2]. 31. Let A = \{1, 2, 3, 4\} and B = \{4, 8, 9, 10\}. A function f:A $\rightarrow$ B given by f = \{(1, 4), (2, 8), (3, 9), (4, 10)\} is a A) Identity function. B) Many-one function. C) Into function. D) One-to-one function. Show Answer Correct Answer: D) One-to-one function. 32. What variable represents the domain? A) Y. B) X. C) R. D) D. Show Answer Correct Answer: B) X. 33. Which of the following is a one-to-one function? A) {(1, 2), (2, 2), (0, 1)}. B) {(1, 1), (2, 2), (3, 3)}. C) {(0, 2), (1, 1), (0, 1)}. D) {(3, 4), (3, 5), (3, 6)}. Show Answer Correct Answer: B) {(1, 1), (2, 2), (3, 3)}. 34. Evaluate f(-2) if f(x) = x$^{2}$+ 3 A) -7. B) 1. C) 7. D) -1. Show Answer Correct Answer: C) 7. 35. The set of ordered pairs below is a function.{ (5, 4), (3, 6), (2, 7), (8, 1), (x, y) }Which could be the fifth ordered pair in the function? A) (8, 3). B) (2, 1). C) (5, 7). D) (4, 6). Show Answer Correct Answer: D) (4, 6). 36. Evaluate the function, f(x)=2x, when x=4. A) F(4) = 4. B) F(4) = 2. C) F(4) = 8. D) F(4) = 6. Show Answer Correct Answer: C) F(4) = 8. 37. Is this a function:H={(-1, 0), (-2, -1), (-3, 4), (-2, 5), (6, 7)}? A) Yes. B) No. C) Maybe. D) None of the above. Show Answer Correct Answer: B) No. 38. The set of all y-values or output is ..... A) Domain. B) Function. C) Relation. D) Range. Show Answer Correct Answer: D) Range. 39. Which axis runs vertically? A) X. B) Y. C) All the above. D) None of the above. Show Answer Correct Answer: B) Y. 40. The equation 6x-y=x-12 A) Not a Function. B) I dont know. C) Non Linear. D) Linear. Show Answer Correct Answer: D) Linear. 41. R is a relation on the set Z of integers and it is given by $\left(x, y\right)\in R\\Longleftrightarrow\left|x-y\right|\le1$ A) Reflexive and transitive. B) Reflexive and symmetric. C) Symmetric and transitive. D) An equivalence relation. Show Answer Correct Answer: B) Reflexive and symmetric. 42. The first number in an ordered pair can be referred to as the domain. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 43. There exist atleast one element in B Which is not the image of any element of A is A) Onto Function. B) Into Function. C) Surjection. D) Injection. Show Answer Correct Answer: B) Into Function. 44. If my function rule is x-5, what is the OUTPUT if the input is 14? A) 9. B) 1. C) 19. D) 21. Show Answer Correct Answer: A) 9. 45. $f\left(x\right)=x^2-5x$ $f\left(-2\right)$ A) 14. B) 6. C) -6. D) -14. Show Answer Correct Answer: A) 14. 46. Given f(x) = 2x$^{2}$ + 5x-17, find f(-1). A) F(-1) =-20. B) F(-1) =-24. C) All the above. D) None of the above. Show Answer Correct Answer: A) F(-1) =-20. 47. Which function has a graph that is a step function? A) Signum Function. B) Identity Function. C) Greatest Integer Function. D) Constant Function. Show Answer Correct Answer: C) Greatest Integer Function. 48. A soda machine sells drinks for 75 cents each. Write an equation to represent the total cost (C) in terms of the number of drinks bought (d). A) C = $ 0.75d. B) D = $ 0.75 + C. C) C = $ 0.75 + d. D) D = $ 0.75C. Show Answer Correct Answer: A) C = $ 0.75d. 49. A numerical pattern that increases or decreases at a constant rate or value. A) Arithmetic Sequence Formula. B) Zeros. C) Arithmetic Sequence. D) Common Difference. Show Answer Correct Answer: C) Arithmetic Sequence. 50. Brook rents a computer at an internet cafe. He has to pay a fixed amount of P10 and an additional cost of P15 per hour of rent time that he extended. Which is the correct mathematical model of the situation? A) F(x) = 15x-10. B) F(x) = 15x + 10. C) F(x) = 10x + 15. D) F(x) = 10x-15. Show Answer Correct Answer: B) F(x) = 15x + 10. 51. A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change? A) 150. B) 200. C) 300. D) 75. Show Answer Correct Answer: D) 75. 52. What is the range of the relation A = {(1, 3), (3, 5), (4, 6), (7, 9)}? A) {1, 3, 4, 5, 6, 7}. B) {3, 5, 6, 9}. C) {1, 3, 4, 7}. D) {1, 3, 4, 5}. Show Answer Correct Answer: B) {3, 5, 6, 9}. 53. In the notation a R b, it means that (a, b) is an ..... of R. A) Equation. B) Relation. C) Subset. D) Element. Show Answer Correct Answer: D) Element. 54. Set A has 3 elements and the set B has 4 elements. Then the number of injective mappings that can be defined from A to B is A) 24. B) 64. C) 12. D) 144. Show Answer Correct Answer: A) 24. 55. What is Coordinate Plane A) Formed by the intersection of two number lines, the horizontal axis and the vertical axis. B) Formed by the intersection of 1 number line, the horizontal axis and the vertical axis. C) Formed by the intersection of Three number lines, the horizontal axis and the vertical axis. D) Formed by the intersection of four number lines, the horizontal axis and the vertical axis. Show Answer Correct Answer: A) Formed by the intersection of two number lines, the horizontal axis and the vertical axis. 56. The range of the relation R = \{( $x$ $x^2$ $x$ A) {4, 9, 25, 49, 121}. B) {1, 4, 9, 25, 49, 121}. C) {2, 3, 5, 7, 11}. D) {2, 3, 5, 7}. Show Answer Correct Answer: A) {4, 9, 25, 49, 121}. 57. What is the x-coordinate? A) Sabaton. B) The x value of an ordered pair, represents the horizontal placement of the point. C) The y value of an ordered pair, represents the horizontal placement of the point. D) The value of an ordered pair, represents the horizontal placement of the point. Show Answer Correct Answer: B) The x value of an ordered pair, represents the horizontal placement of the point. 58. If f:A $\rightarrow$ A) 14. B) 1. C) 49. D) 7. Show Answer Correct Answer: D) 7. 59. Can a relation be a function if it has repeated inputs with different outputs? A) No. B) It depends. C) Yes. D) Maybe. Show Answer Correct Answer: A) No. 60. Find the slope given the following points:(5, 1) and (3, 1) A) M=1. B) M=undefined. C) M=0. D) M=1/4. Show Answer Correct Answer: C) M=0. ← 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 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