This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 9 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 9 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which situation can be represented by y = 17x-8? A) The number of seeds, y, needed to feed 8 hamsters 17 seeds each. B) The earnings from a lemonade stand, y, selling glasses at 17 dollars each with $ 8 in the tip jar. C) The cost, y, of buying 17 movie tickets that sell for $ 8 each. D) The cost, y, of buying Star Wars figurines at $ 17 each with an $ 8 discount. Show Answer Correct Answer: D) The cost, y, of buying Star Wars figurines at $ 17 each with an $ 8 discount. 2. Relation or Function? {(-6, -1), (5, -1), (0, -1), (-2, -1), (3, -1)} A) Relation and Function. B) Relation only. C) Function only. D) None of the above. Show Answer Correct Answer: A) Relation and Function. 3. Is the relation a function? {(-6, -1), (5, -1), (0, -1), (-2, -1), (3, -1)} A) Yes. B) No. C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 4. For the order pairs:( 3, 8), ( 5, 4), (1, 9), and (2, 7). List the domain. A) D:{4, 7, 8, 9}. B) D:{1, 2, 3, 5}. C) All the above. D) None of the above. Show Answer Correct Answer: B) D:{1, 2, 3, 5}. 5. If f(x) = 2x + 1, find f(1). A) F(1) = 1. B) F(1) = 4. C) F(1) = 3. D) F(1) = 0. Show Answer Correct Answer: C) F(1) = 3. 6. F:A $\longrightarrow$ A) 14. B) 7. C) 1. D) 49. Show Answer Correct Answer: B) 7. 7. If there are 1024 relations from a set A = {p, q, r, s, t} to a set B, then the number of elements in B is ..... A) 2. B) 3. C) 4. D) None of the above. Show Answer Correct Answer: A) 2. 8. Identify the DOMAIN and RANGE of (2, -4)(2, 7)(-6, 5)(1, 10)(3, -9) A) DOMAIN:1, 2, 3, -6RANGE:-4, 5, 7, -9, 10. B) DOMAIN:-9, -4, 5, 7, 10RANGE:-6, 1, 2, 3. C) DOMAIN:-6, 1, 2, 3RANGE:-9, -4, 5, 7, 10. D) DOMAIN:-6, 2, 2, 3, 1RANGE:-9, -4, 5, 7, 10. Show Answer Correct Answer: C) DOMAIN:-6, 1, 2, 3RANGE:-9, -4, 5, 7, 10. 9. What is a table of values in relation to functions? A) A graphical representation of a function showing its shape. B) A way to represent a function by listing pairs of input (x) and output (y) values. C) A method to calculate the derivative of a function. D) A set of equations that define a function. Show Answer Correct Answer: B) A way to represent a function by listing pairs of input (x) and output (y) values. 10. In the linear equation shown, which variable would represent the output (range) values? A) Y. B) X. C) M. D) B. Show Answer Correct Answer: A) Y. 11. Find the range of f(x) =-2x$^{2}$-3, give the domain is D = \{2, -3, 4\}. A) {-35, -15, -11}. B) {-35, -11, 15}. C) {-35, -21, -11}. D) {5, 15, 29}. Show Answer Correct Answer: C) {-35, -21, -11}. 12. Number of binary operations on the set {a, b} are A) 20. B) 10. C) 16. D) 8. Show Answer Correct Answer: C) 16. 13. The one-one function is A) Parabola. B) Straight line. C) Ellipse. D) Circle. Show Answer Correct Answer: B) Straight line. 14. AN ARROW DIAGRAM IS A VISUAL REPRESENTATION OF A ..... A) RELATION. B) CO-DOMAIN. C) RANGE. D) DOMAIN. Show Answer Correct Answer: A) RELATION. 15. If $f(x)=7x-4$ $f\left(0\right)$ A) $f\left(0\right)=-18$. B) $f\left(0\right)=17$. C) $f\left(0\right)=-4$. D) $f\left(0\right)=-25$. Show Answer Correct Answer: C) $f\left(0\right)=-4$. 16. Let f(x) = 5x-2.If f(x) = 13, find x. A) 3. B) 2.2. C) 63. D) 5. Show Answer Correct Answer: A) 3. 17. If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is A) Reflexive. B) Transitive. C) Symmetric. D) None of these. Show Answer Correct Answer: B) Transitive. 18. Which of the ordered pair is a solution to the equation $3x-y^2 = 5$ A) (3, -2). B) (6, 1). C) Both. D) Neither. Show Answer Correct Answer: A) (3, -2). 19. What is the graph of a polynomial function? A) V-shaped curve. B) Curve with varying degrees. C) Horizontal line. D) Straight line passing through the origin. Show Answer Correct Answer: B) Curve with varying degrees. 20. What is the definition of a relation? A) A relation is a mathematical operation performed on numbers. B) A relation is a collection of unrelated items. C) A relation is a single pair of elements from two sets. D) A relation is a set of ordered pairs that defines a relationship between elements of two sets. Show Answer Correct Answer: D) A relation is a set of ordered pairs that defines a relationship between elements of two sets. 21. What is a reasonable domain and range of the function below?A bowler pays $ 4.25 per game. A) D:all real numbersR:all real numbers. B) D:positive rational numbersR:positive rational numbers. C) D:whole numbersR:positive rational numbers. D) D:whole numbersR:integers. Show Answer Correct Answer: C) D:whole numbersR:positive rational numbers. 22. Evaluate f(x)=-2x+13 for f(10) A) 7. B) -8. C) 1. D) -7. Show Answer Correct Answer: D) -7. 23. Decide if the relation {(1, 2), (2, 3), (4, 5)} is a function. A) Yes. B) Maybe. C) Sometimes. D) No. Show Answer Correct Answer: A) Yes. 24. If f(x) = 2x2 and g (x) = $\frac{1}{3x}$ A) $\frac{2}{3x^2}$. B) $\frac{2}{9x^2}$. C) $\frac{1}{6x^2}$. D) $\frac{3}{2x^2}$. Show Answer Correct Answer: B) $\frac{2}{9x^2}$. 25. If there are 1024 relations from a set A = {1, 2, 3, 4, 5} to a set B, then the number of elements in B is A) 8. B) 4. C) 3. D) 2. Show Answer Correct Answer: D) 2. 26. The symbol "$\subseteq$" means ..... A) Is an element of. B) Belongs to. C) Is equal to. D) Is a subset of. Show Answer Correct Answer: D) Is a subset of. 27. A function f(x) is said to be an odd function if A) F(-x)=f(x). B) F(-x)=-f(x). C) F(-x)=K*f(x), where k is a constant. D) None of these. Show Answer Correct Answer: B) F(-x)=-f(x). 28. Let A={1, 2, 3}. Then the number of equivalence relations containing (1, 2) is A) 1. B) 3. C) 4. D) 2. Show Answer Correct Answer: D) 2. 29. What do you call any set of ordered pairs? A) Relation. B) Function. C) Domain. D) Range. Show Answer Correct Answer: A) Relation. 30. What is the difference between independent and dependent variables? A) The independent variable is the output of a function, while the dependent variable is the input. B) The independent variable is the input of a function, while the dependent variable is the output. C) Both independent and dependent variables are the same in a function. D) The independent variable is always a constant, while the dependent variable varies. Show Answer Correct Answer: B) The independent variable is the input of a function, while the dependent variable is the output. 31. How do you identify a function from a graph? A) By counting the number of intersections with the x-axis. B) By using the horizontal line test. C) By using the vertical line test. D) By checking for symmetry in the graph. Show Answer Correct Answer: C) By using the vertical line test. 32. If n(A x B) = 6 and A = {1, 3} then n(B) is A) 1. B) 6. C) 2. D) 3. Show Answer Correct Answer: D) 3. 33. Each number in the domain is called A) A range. B) An input. C) A relation. D) An output. Show Answer Correct Answer: B) An input. 34. The four regions into which the x-and y-axis separate the coordinate plane A) X-axis. B) Quadrants. C) Coordinate Plane. D) Y-axis. Show Answer Correct Answer: B) Quadrants. 35. Starting with $ 10 and doubling the amount every week A) Linear. B) Non Linear. C) All the above. D) None of the above. Show Answer Correct Answer: B) Non Linear. 36. A graph that consists of points that are not connected A) Discrete Graph. B) Continuous Graph. C) Relation. D) Other. Show Answer Correct Answer: A) Discrete Graph. 37. When the domain repeats, it is ..... a function. (fill in the blank) A) Absolutely. B) Not. C) Maybe. D) Identical to. Show Answer Correct Answer: B) Not. 38. What is the property of a bijective function? A) F(x) = f(y). B) F(x1) = f(x2). C) F(x) = x. D) F(x) = y. Show Answer Correct Answer: A) F(x) = f(y). 39. What is a mapping diagram? A) A visual representation of a geometric shape. B) A diagram that shows the relationship between inputs and outputs of a function. C) A chart that lists all possible outcomes of an experiment. D) A graphical representation of a statistical data set. Show Answer Correct Answer: B) A diagram that shows the relationship between inputs and outputs of a function. 40. What is an independent variable? A) The input of a function (x value. B) The output of a function (y value. C) The equation that defines the function. D) None of the above. Show Answer Correct Answer: A) The input of a function (x value. 41. A function i shown $f\left(x\right)=x^2+8x+6$ $f\left(4\right)$ A) 46. B) 42. C) 54. D) 102. Show Answer Correct Answer: C) 54. 42. For the relation {(0, 1), (1, -3), (2, -4), (-4, 1)}, write the domain. A) D:{1, -3, -4, }R:{0, 1, 2, -4}. B) D:{0, 1, 2, -4}R:{1, -3, -4}. C) D:{0, 1, 2, 3, 4}R:{1, -3, -4}. D) None of the above. Show Answer Correct Answer: B) D:{0, 1, 2, -4}R:{1, -3, -4}. 43. If f:A $\rightarrow$ B is a bijective function and if n(B) = 7, then n(A) is equal to ..... A) 14. B) 49. C) 7. D) 1. Show Answer Correct Answer: C) 7. 44. What is the independent variable in the phrase "the number of pages of a module and the number of bond paper used to reproduce the module" ? A) The number of bond paper to be used to reproduce the module. B) The number of pages of the module. C) The thickness of the module. D) The thickness of the bond paper. Show Answer Correct Answer: B) The number of pages of the module. 45. The function $f:Q\rightarrow Q$ $x\in Q$ A) One-one but not onto. B) Onto but not one-one. C) Bijection. D) None of the above. Show Answer Correct Answer: C) Bijection. 46. The following ordered pairs represent a relation.{(1, 3), (5, 15), (2, 6), (4, 12), (3, 9)}What are the range values from least to greatest! A) {3, 6, 9, 12, 15}. B) {3}. C) {3, 15, 6, 12, 9}. D) {1, 5, 2, 4, 3}. Show Answer Correct Answer: A) {3, 6, 9, 12, 15}. 47. Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is A) Reflexive and symmetric. B) Transitive and symmetric. C) Equivalence. D) Reflexive, transitive but not symmetric. Show Answer Correct Answer: D) Reflexive, transitive but not symmetric. 48. The smallest equivalence relation R on set A = {1, 2, 3} is A) {(1, 1), (2, 2), (3, 3)}. B) {(1, 1), (2, 2), (3, 3), (1, 2), (2, 1)}. C) {(1, 1), (2, 2), (3, 3), (2, 1)}. D) None of these. Show Answer Correct Answer: A) {(1, 1), (2, 2), (3, 3)}. 49. What is the x-axis A) The vertical axis on a coordinate plane. B) The horizontal axis on a coordinate plane. C) Bacon. D) The upside down axis on a coordinate plane. Show Answer Correct Answer: B) The horizontal axis on a coordinate plane. 50. If g = \{(1, 1 ), (2, 3), (3, 5), (4, 7)\} is a function given by g( x ) = $\alpha$x + $\beta$ then the values of a and b are A) (1, 2). B) (-1, 2). C) (2, -1). D) (-1, -2). Show Answer Correct Answer: C) (2, -1). 51. Which set of ordered pairs represents y as a function of x? A) <(5, 4), (2, 3), (1, 1), (2, 4)>. B) <(3, 2), (-4, -2), (3, 1), (-4, 1)>. C) <(-9, 2), (0, 6), (1, -2), (-3, 6)>. D) <(-1, 0), (4, 3), (-7, -3), (-1, -8)>. Show Answer Correct Answer: C) <(-9, 2), (0, 6), (1, -2), (-3, 6)>. 52. If every input has exactly one output, is the relation a function? A) Maybe. B) Not sure. C) No. D) Yes. Show Answer Correct Answer: D) Yes. 53. Which ordered pair is a solution of the equation y = 6x? A) (3, 18). B) (6, 1). C) (4, 18). D) (12, 2). Show Answer Correct Answer: A) (3, 18). 54. Relations can be illustrated using the following, EXCEPT: A) Rule. B) Shape. C) Graph. D) Table. Show Answer Correct Answer: B) Shape. 55. If f(x) = 3x-4 and g(x) = 4x$^{2, }$find f(-5). A) 19. B) -11. C) 11. D) -19. Show Answer Correct Answer: D) -19. 56. If f(x) = 4/3 x-9, which statement is true? A) F(3) =-21. B) F(9) = 0. C) F(-18) =-33. D) F(-21) =-30. Show Answer Correct Answer: C) F(-18) =-33. 57. Find the principal values of $\cot^{-1}\left(-\sqrt{3}\right)$ A) $\frac{5\pi}{6}$. B) $\frac{\pi}{6}$. C) $-\frac{\pi}{6}$. D) $-\frac{5\pi}{6}$. Show Answer Correct Answer: A) $\frac{5\pi}{6}$. 58. What is a linear function? A) A function that can be graphically represented as a straight line, with the form f(x) = mx + b, where m is the slope and b is the y-intercept. B) A function that represents a quadratic equation and forms a parabola when graphed. C) A function that has a constant rate of change and can be represented by a polynomial of degree two. D) A function that oscillates and can be represented by a sine or cosine wave. Show Answer Correct Answer: A) A function that can be graphically represented as a straight line, with the form f(x) = mx + b, where m is the slope and b is the y-intercept. 59. Is this set state as a relation:F={(16, -4), (9, 3), (9, -3), (16, 4), (1, -1)}? A) Yes. B) No. C) Maybe. D) None of the above. Show Answer Correct Answer: A) Yes. 60. Let A = {1, 2, 3} and let R = {(1, 1), (2, 2), ( 3, 3), (1, 3), ( 3, 2), (1, 2)}. Then, R is A) Reflexive and symmetric but not transitive. B) Reflexive and transitive but not symmetric. C) Symmetric and transitive but not reflexive. D) An equivalence relation. Show Answer Correct Answer: B) Reflexive and transitive but not symmetric. ← 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