This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 1 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 1 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Given f(x) =-4x-10 and f(x) = 10. Find x A) X = 5. B) X =-5. C) X =-50. D) X = 30. Show Answer Correct Answer: B) X =-5. 2. Which statement is true about the relation {(-2, 4), (4, 2), (2, 4), -4, 2)}? A) The relation is NOT a function because all the y-values are not different. B) The relation is NOT a function because all the x-values are not different. C) The relation is a function because the y-values are different. D) The relation is a function because all the x-values are different. Show Answer Correct Answer: D) The relation is a function because all the x-values are different. 3. Young Sway is said to have four times more fans than Trey Clay. If Young Sway is represented as y, and Trey Clay is x, what is the function? A) Y = 4-x. B) Y= 4x. C) X = 4y. D) Y = 4 + x. Show Answer Correct Answer: B) Y= 4x. 4. What is the range of the function:{(2, 3), (4, 3), (6, 3), (8, 5) A) 2, 4. B) 3, 5. C) 2, 4, 6, 8. D) 3, 3, 3, 5. Show Answer Correct Answer: B) 3, 5. 5. F(x) = 3x-7f(-1) = A) 4. B) 10. C) -4. D) -10. Show Answer Correct Answer: D) -10. 6. Ronald wants to relate well known places to its country location. Which of the following is part of Ronald's relation? A) (Taj Mahal, Indonesia). B) (Statue of Liberty, USA). C) (Eiffel Tower, Italy). D) (Great Wall, Thailand). Show Answer Correct Answer: B) (Statue of Liberty, USA). 7. Find the inverse of f(x) =-4x-12 A) F$^{-1}$(x) = 1/4x + 3. B) F$^{-1}$(x) =-4x-3. C) F$^{-1}$(x) = 4x-3. D) F$^{-1}$(x) =-1/4x-3. Show Answer Correct Answer: D) F$^{-1}$(x) =-1/4x-3. 8. If the ordered pairs (a + 2, 4) and (5, 2a + b) are equal then (a, b) is A) (5, 1). B) (2, -2). C) (2, 3). D) (3, -2). Show Answer Correct Answer: D) (3, -2). 9. How do you find an inverse? A) Switch x and y. B) Flip the signs on all the x-values. C) Flip the signs on all the y-values. D) Do nothing. Show Answer Correct Answer: A) Switch x and y. 10. What is the range of a function? A) Sum of all input values. B) Product of all output values. C) Set of all possible output values (y-values). D) Average of all output values. Show Answer Correct Answer: C) Set of all possible output values (y-values). 11. Which relation has a domain of {2, 6, 8}? A) {(2, 0), (4, 8), (6, 2), (8, 0)}. B) {(1, 8), (2, 2), (2, 6)}. C) {(8, 6), (2, 8), (8, 2)}. D) {(6, 1), (6, 2), (2, 4), (8, 6)}. Show Answer Correct Answer: D) {(6, 1), (6, 2), (2, 4), (8, 6)}. 12. Let T be the set of all triangles in a Euclidean plane, and let a realtion R on T be defined as a Rb if a is congruent to b, for all a, b belongs to T. Then R is A) Reflexive but not transitive. B) Transitive but not symmetric. C) Equivalence. D) None of these. Show Answer Correct Answer: C) Equivalence. 13. In an equivalence relation, if two elements belong to the same equivalence class, then they are ..... A) Irrelated. B) Different. C) Inverse. D) Equal. Show Answer Correct Answer: D) Equal. 14. What is the domain of the ordered pairs {(3, 4), (4, 5), (5, 6), (6, 7), (7, 8)}? A) {4, 5, 6, 7, 8}. B) {3, 4, 5, 6}. C) {3, 4, 5, 6, 7}. D) {4, 5, 6, 7}. Show Answer Correct Answer: C) {3, 4, 5, 6, 7}. 15. What variable typically represents the range? A) X. B) Y. C) All the above. D) None of the above. Show Answer Correct Answer: B) Y. 16. Vertical line intersects the curve atmost one point A) Constant Function. B) Identity Function. C) Into Function. D) One to one Function. Show Answer Correct Answer: D) One to one Function. 17. Graph of a linear function geometrically represents a A) Parabola. B) Hyperbola. C) Circle. D) Straight line. Show Answer Correct Answer: D) Straight line. 18. IF A AND B ARE FINITE SETS SUCH THAT n(A) = p, n(B) = q THEN THE TOTAL NUMBER OF FUNCTION THAT EXIST FROM A TO B IS ..... A) $2^p$. B) $q^p$. C) $2^q$. D) $p^q$. Show Answer Correct Answer: B) $q^p$. 19. Find the domain of the following function y = 3x. A) All real numbers except 0. B) All real numbers. C) All real numbers except 3. D) All real numbers except-1. Show Answer Correct Answer: B) All real numbers. 20. If f(x)=x$^{2}$-1 and g(x)=x-2, then (f-g)(2) is A) 3. B) 4. C) -3. D) -2. Show Answer Correct Answer: A) 3. 21. How can you determine if a relation is a function? A) A relation is a function if it is represented by a straight line on a graph. B) A relation is a function if it has multiple outputs for the same input. C) A relation is a function if each input has exactly one output. D) A relation is a function if it contains at least one input-output pair. Show Answer Correct Answer: C) A relation is a function if each input has exactly one output. 22. Georgia's electricity company charges her Php 5.53 per kWh (kilowatt-hour) of electricity, plus a basic connection charge of Php 755 per month. If x is equal to 75, how much is her electricity bill? A) Php 4, 099.15. B) Php 1, 154.75. C) Php 57, 024.75. D) Php 56, 630.53. Show Answer Correct Answer: B) Php 1, 154.75. 23. Four regions into which the x-and y-axis separate the coordinate plane. The four regions are numbered (I, II, III, IV) A) Ordered pair. B) Mapping. C) Quadrants. D) Coordinate plane. Show Answer Correct Answer: C) Quadrants. 24. Determine which of the following ordered pairs is NOT an element of the relation defined by y = 2x + 1? A) (0, 1). B) (2, 5). C) (4, 9). D) (3, 6). Show Answer Correct Answer: D) (3, 6). 25. If f ( x) = 2x$^{2}$ and g (x ) = $\frac{1}{3}$ $\circ$ A) $\frac{1}{6x^2}$. B) $\frac{3}{2x^2}$. C) $\frac{2}{3x^2}$. D) $\frac{2}{9x^2}$. Show Answer Correct Answer: D) $\frac{2}{9x^2}$. 26. Which is the set of all y-coordinates? A) Domain. B) Relation. C) Range. D) Function. Show Answer Correct Answer: C) Range. 27. Total number of relations that can be defined using 5 elements in a set A) $2\times25$. B) $25^2$. C) $2^{25}$. D) $25\times25$. Show Answer Correct Answer: C) $2^{25}$. 28. ANY set of ordered pairs is called what? A) Function. B) Relation. C) Vertical Line Test. D) Coordinates. Show Answer Correct Answer: B) Relation. 29. Which element is not in the range of this relation? {(-4, 1), (2, -4), (4, -3), (6, 5) A) 5. B) 4. C) -4. D) 1. Show Answer Correct Answer: B) 4. 30. What is the test to determine if a graph represents a function? A) Obi Wan Kenobi Test. B) Horizontal line test. C) Heidelberg Uncertainty Test. D) Vertical line test. Show Answer Correct Answer: D) Vertical line test. 31. Kelly earns $ 7.25 per hour babysitting. Write an equation for Kelly's earnings (e) in terms of the number of hours (n) she works. A) E = $\frac{n}{7.25}$. B) N = 7.25e. C) E = 7.25-n. D) E = 7.25n. Show Answer Correct Answer: D) E = 7.25n. 32. What is the domain of a relation? A) The set of all x-coordinates. B) The set of all y-coordinates. C) All the above. D) None of the above. Show Answer Correct Answer: A) The set of all x-coordinates. 33. The horizontal axis on a coordinate plane A) Y-axis. B) X-coordinate. C) X-axis. D) Ordered pair. Show Answer Correct Answer: C) X-axis. 34. Function g is defined:{(2, 10), (3, 12), (4, 14), (5, 16)} What is the value g(4)? A) G(4) = 10. B) G(4) = 14. C) G(4) = 16. D) G(4) = 4. Show Answer Correct Answer: B) G(4) = 14. 35. If g = \{(1, 1), (2, 3), (3, 5), (4, 7)\} is a function given by g(x) = $\alpha x+\beta$ $\alpha$ $\beta$ A) (2, -1). B) (1, 2). C) (-1, -2). D) (-1, 2). Show Answer Correct Answer: A) (2, -1). 36. What is the domain of the set of ordered pairs:{( 0, 1), (0, 2), (0, 3), (0, 4), (0, 5)} A) D:{ 0, 0, 0, 0, 0}. B) D:{ 0}. C) D:( empty set). D) D:{ 1, 2, 3, 4, 5}. Show Answer Correct Answer: B) D:{ 0}. 37. Find the principal values of $\tan^{-1}\left\{\sin\left(-\frac{\pi}{2}\right)\right\}$ A) $-\frac{\pi}{4}$. B) $\frac{3\pi}{2}$. C) $\frac{\pi}{4}$. D) $-\frac{3\pi}{2}$. Show Answer Correct Answer: A) $-\frac{\pi}{4}$. 38. How do you determine if an equation represents a function? A) Look for the presence of a constant term. B) Check if each input (x-value) corresponds to exactly one output (y-value). C) Verify that the equation has no variables. D) Ensure that the equation is linear. Show Answer Correct Answer: B) Check if each input (x-value) corresponds to exactly one output (y-value). 39. At a pet store, it costs $ 5 to wash a cat and $ 7.50 to wash a dog. Last week, the store made $ 60 from washing cats and dogs. Write a linear equation that could be used to find how many cats and dogs were washed. A) 5x + 7.5y = 60. B) 5x + 7.5x = 60. C) 5x-7.5y = 60. D) -5x + 7.5y = 60. Show Answer Correct Answer: A) 5x + 7.5y = 60. 40. If f(x) =-4x + 5 and g(x) = x$^{2}$ + x, find g(-4). A) 12. B) 20. C) -12. D) -20. Show Answer Correct Answer: A) 12. 41. The school is selling raffle tickets as a fundraiser. The profit from the tickets can be modeled by the equation P(x) = 3x-35, where x is the number of tickets sold. Which best describes the possible domain? A) All real numbers greater than 0. B) All whole numbers. C) Any rational number greater than 0. D) All integers. Show Answer Correct Answer: B) All whole numbers. 42. Which relation is a function? A) (1, 2) (2, 3) (3, 4) (1, 5). B) (2, 9) (5, 9) (0, 9) (1, 9). C) (6, -5) (7, -3) (6, -1) (8, 1). D) (3, 4) (3, -3) (3, 4) (3, 8). Show Answer Correct Answer: B) (2, 9) (5, 9) (0, 9) (1, 9). 43. Relation R in the set N of natural numbers defined asR = {(x, y):y = x + 5 and x < 4} A) Reflexive. B) Transitive. C) Symmetric. D) None of these. Show Answer Correct Answer: B) Transitive. 44. What variable represents the range? A) Y. B) X. C) D. D) R. Show Answer Correct Answer: A) Y. 45. In a function the outputs represent the (a) values. A) A. y. B) X. C) W. D) Z. Show Answer Correct Answer: A) A. y. 46. Which of the following is a many-to-one function? A) {(0, 1), (3, 4), (0, 2)}. B) {(0, 1), (1, 1), (2, 2)}. C) {(-1, 0), (1, 1), (-1, 1)}. D) {(1, 1), (2, 2), (3, 3)}. Show Answer Correct Answer: B) {(0, 1), (1, 1), (2, 2)}. 47. What is the y-intercept of the line 5x-2y=10? A) -2. B) -5. C) 0. D) 5. E) 2. Show Answer Correct Answer: B) -5. 48. The domain is the input or x-values of a table and graph ..... True or False. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 49. (3, -3)(2, -4)(5, 0)(1, -2)What is the range of this function? A) (3, 2, 5, 1). B) (all real numbers). C) (-3, -4, 0, -2). D) (5, 0) (1, -2). Show Answer Correct Answer: C) (-3, -4, 0, -2). 50. Evaluate h(x) = $x^2-6$ A) 19. B) -19. C) -31. D) 31. Show Answer Correct Answer: A) 19. 51. Let A = {a, b }. Then number of one-one functions from A to A possible are A) 1. B) 4. C) 3. D) 2. Show Answer Correct Answer: D) 2. 52. If f(x) =-4x + 5 and g(x) = x$^{2}$ + x, find g(-8). A) -56. B) 72. C) 56. D) -72. Show Answer Correct Answer: C) 56. 53. The number of relations on a set containing 3 elements is ..... A) 1024. B) 81. C) 512. D) 9. Show Answer Correct Answer: C) 512. 54. What is a Relation? A) This is a mapping (or pairing) of input values with output values. B) This is the set of all first elements, x-coordinate, or the abscissa of the ordered pairs. C) This is the set of all second elements, y-coordinate, or the ordinate of the ordered pairs. D) This is a relation in which the first element, x-coordinate, or abscissa in the ordered pairs corresponds to exactly one second element, y-coordinate, or ordinate. Show Answer Correct Answer: A) This is a mapping (or pairing) of input values with output values. 55. For real numbers x and y, define xRy if and only if $x-y+\sqrt{2}$ A) Reflexive. B) Symmetric. C) Transitive. D) None of these. Show Answer Correct Answer: A) Reflexive. 56. Explain the concept of closure in relation to binary relations. A) Closure is the initial state of a binary relation before any operations are applied. B) Closure is the process of removing duplicates from a binary relation. C) Closure refers to the total number of elements in a binary relation. D) Closure is the extension of a binary relation to include all pairs that satisfy a specific property, such as transitivity. Show Answer Correct Answer: D) Closure is the extension of a binary relation to include all pairs that satisfy a specific property, such as transitivity. 57. Evaluate the function, f(x)=1/3x + 6, when x=3. A) Y = 9. B) Y = 7/3. C) Y = 7. D) Y = 2. Show Answer Correct Answer: C) Y = 7. 58. Given the relation A = {(5, 2), (7, 4), (9, 10), (x, 5)}. Which of the following values for x will make relation A a function? A) 9. B) 5. C) 4. D) 7. Show Answer Correct Answer: C) 4. 59. F:A $\rightarrow$ B . If f is bijective function then which of the following is true A) Number of elements in range of f = n(A). B) Number of elements in range of f = n(B). C) N(A) = n(B). D) All of the above. Show Answer Correct Answer: C) N(A) = n(B). 60. How do you evaluate a function at a specific point? A) Substitute the given x-value into the function's equation and solve for y. B) Multiply the function's equation by the x-value. C) Add the x-value to the function's equation. D) Differentiate the function's equation with respect to x. Show Answer Correct Answer: A) Substitute the given x-value into the function's equation and solve for y. Next →Related QuizzesScience QuizzesClass 11 QuizzesClass 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 8Class 11 Mathematics Chapter 2 Relations And Functions Quiz 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books