This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 8 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 8 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. How can you determine if a relation is a function from a table? A) A relation is a function if no x-value is repeated with a different y-value. B) A relation is a function if all y-values are unique. C) A relation is a function if it contains at least one ordered pair. D) A relation is a function if the x-values are all positive. Show Answer Correct Answer: A) A relation is a function if no x-value is repeated with a different y-value. 2. Given the function y = 3x-10, what is the rate of change? A) -10. B) 10. C) -3. D) 3. Show Answer Correct Answer: D) 3. 3. If { (a, 7), (8, b) } represents an identity function, then the value of a and b are respectively ..... A) (7, 8). B) (8, 7). C) (8, 8). D) None of the above. Show Answer Correct Answer: A) (7, 8). 4. What is the independent variable in the following relation?Kevin's cell phone is part of a family plan. If he uses more data than his share, then there is less data available for the rest of his family. A) The amount of data available for the rest of the family. B) The total cost of the family plan. C) The cost of Kevin's phone. D) The amount of data Kevin uses. Show Answer Correct Answer: D) The amount of data Kevin uses. 5. Evaluate the composition of functions f(g(x)) if f(x) = x + 1 and g(x) = 2x. A) 2x + 1. B) 4x + 1. C) X + 2. D) 2x-1. Show Answer Correct Answer: A) 2x + 1. 6. The vertical axis on a coordinate plane A) Y-axis. B) Quadrants. C) Coordinate Plane. D) X-axis. Show Answer Correct Answer: A) Y-axis. 7. If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by 'x is greater than y'. The range of R is A) {1, 4, 6, 9}. B) {4, 6, 9}. C) {1}. D) None of these. Show Answer Correct Answer: C) {1}. 8. Which input will result in an output of 12 for the following function? $d\left(x\right)=x^2+3$ A) 12. B) 141. C) 114.5. D) 121. Show Answer Correct Answer: B) 141. 9. Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the? to create a non-function? A) 1. B) 4. C) 7. D) 3. Show Answer Correct Answer: D) 3. 10. Find x and y if:(4x + 3, y) = (3x + 5, -2) A) Y = 2, x =-2. B) X = 2, y = 2. C) X =-2, y =-2. D) X = 2, y =-2. Show Answer Correct Answer: D) X = 2, y =-2. 11. The set of the second elements of the ordered pairs forming a relation is called its A) Complement. B) Codomain. C) Subset. D) Range. Show Answer Correct Answer: D) Range. 12. Let R be the 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)}. Choose the correct answer. 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. 13. Which value can take b in the following function f(x)={(2, 1), (3, 5 ), (4, 7), (-1, -3), (-2, -5), (b, -1)} A) 0. B) 2. C) 4. D) -1. Show Answer Correct Answer: A) 0. 14. Given the list of ordered pairs, what is the x-intercept?(8, 10), (3, -4), (0, 8), (4, -3), (9, 0) A) (8, 10). B) 8, 3, 0, 4, 9. C) (0, 8). D) (9, 0). Show Answer Correct Answer: D) (9, 0). 15. What does it mean for a function to be decreasing? A) A function is constant if, as the x-values increase, the y-values remain the same. B) A function is increasing if, as the x-values increase, the y-values decrease. C) A function is decreasing if, as the x-values increase, the y-values decrease. D) A function is decreasing if, as the x-values increase, the y-values increase. Show Answer Correct Answer: C) A function is decreasing if, as the x-values increase, the y-values decrease. 16. What is the domain? A) The set of all x-values. B) The set of all y-values. C) All the above. D) None of the above. Show Answer Correct Answer: A) The set of all x-values. 17. P(x) = 3x + 4q(x) = 2x$^{2}$Find p(q(x)) A) 10x$^{2}$. B) 18x$^{2}$ + 4. C) 6x$^{2}$ + 4. D) None of the above. Show Answer Correct Answer: C) 6x$^{2}$ + 4. 18. Give the range of the set of ordered pairs:(2, 11), (9, -3), (7, 21), (-8, 6) A) {2, 9, 7, -8}. B) {-3, 6, 11, 21}. C) {11, -3, 21, 6}. D) None of the above. Show Answer Correct Answer: B) {-3, 6, 11, 21}. 19. Let Z be the set of integers and R be a relation defined in Z such that aRb if (a-b) is divisible by 5. Then R partitions the set Z into ..... pairwise disjoint subsets. A) 3. B) 2. C) 5. D) 4. Show Answer Correct Answer: C) 5. 20. FInd the inverse of the function. $f\left(x\right)=\frac{3x-15}{2}$ A) $f^{-1}\left(x\right)=-x-5$. B) $f^{-1}\left(x\right)=3x+5$. C) $f^{-1}\left(x\right)=\frac{2}{3}x-\frac{19}{3}$. D) $f^{-1}\left(x\right)=\frac{15+2x}{3}$. Show Answer Correct Answer: D) $f^{-1}\left(x\right)=\frac{15+2x}{3}$. 21. (3, -3) (2, -4) (5, 0) (1, -2)What is the domain of this relation? A) (-3, -4, 0, -2). B) (2, -4). C) (all real numbers). D) (1, 2, 3, 5). Show Answer Correct Answer: D) (1, 2, 3, 5). 22. If f is a bijection from A to B and n (A)=7 then n (B)=?? A) 5. B) 7. C) 6. D) None of the above. Show Answer Correct Answer: B) 7. 23. Molly investigated if the age of students caused them to be better drivers. What is the independent variable? A) Type of car. B) Skill of driving. C) Age of student. D) None of the above. Show Answer Correct Answer: C) Age of student. 24. Which equation is linear?(You may check with Desmos) A) $y=x^2+1$. B) $y=2x+1$. C) $y=\frac{3}{x}$. D) $4xy=5$. Show Answer Correct Answer: B) $y=2x+1$. 25. A non-linear function can be represented by all of the following EXCEPT: A) Circle. B) Hyperbola. C) Parabola. D) Line. Show Answer Correct Answer: D) Line. 26. If f is a bijection from A to B, then n(A)= n(B). A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 27. The x-value of an ordered pair, represents the horizontal placement of the point A) Ordered Pair. B) Origin. C) X-coordinate. D) Y-coordinate. Show Answer Correct Answer: C) X-coordinate. 28. The admission fee at a carnival is $ 9. Each ride costs $ 1.75. Let r represent the number of rides. Write a rule in function notation to fit this situation. A) F(r) = 1.75r + 9. B) F(r) = 9r + 1.75. C) F(r) = 1.75r-9. D) F(r) = 9r-1.75. Show Answer Correct Answer: A) F(r) = 1.75r + 9. 29. List and explain two properties of relations. A) Continuity and Boundedness. B) Completeness and Density. C) Reflexivity and Symmetry. D) Transitivity and Antisymmetry. Show Answer Correct Answer: C) Reflexivity and Symmetry. 30. Let w(x) = 3x-7. If w(x) = 14, find x. A) 2.33333. B) 7. C) 35. D) -49. Show Answer Correct Answer: B) 7. 31. Inverse Function A) A function that has been inverted. B) Also known as the "anti-function", the reverse of another function. C) A function that is the composed of other various functions. D) A function that does not have an opposite. Show Answer Correct Answer: B) Also known as the "anti-function", the reverse of another function. 32. The following relation is a function. {(10, 12), (5, 3), (15, 10), (5, 6), (1, 0)} A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 33. It is the set of all admissible values of x. A) Range. B) Function. C) Domain. D) Relation. Show Answer Correct Answer: C) Domain. 34. If I know that f(2) = 4, what is another way I can write my answer? A) 2, 4. B) (2, 4). C) That is the only way to write it. D) None of the above. Show Answer Correct Answer: B) (2, 4). 35. A vertical line is a function. True or False. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: B) False. 36. Marissa used the set of ordered pairs below to graph a relation {(3, 4), (2, 3), (2, 0), (4, 2), (3, 6)} A) {2, 3, 4}. B) {0, 2, 3, 4, 6}. C) {0, 3, 6}. D) {0, 2, 3, 4}. Show Answer Correct Answer: A) {2, 3, 4}. 37. True or False:All functions are relation, but not all relations are function. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 38. Given:{(5, 2), (7, 4), (9, 10), (x, 5)}, which of the following values substituted for x will make this relation a function? A) 4. B) 7. C) 5. D) 9. Show Answer Correct Answer: A) 4. 39. Find the range of the following function $y=\frac{1}{x}$ A) All real numbers. B) All real numbers except 1. C) All real numbers except-1. D) All real numbers except 0. Show Answer Correct Answer: D) All real numbers except 0. 40. A relation where each x value has exactly one y value is a A) Inequality. B) Range. C) Function. D) Equation. Show Answer Correct Answer: C) Function. 41. Let f:R $\rightarrow$ A) F is one-one and onto. B) F is one-one but not onto. C) F is many-to-one. D) F is neither one-one nor onto. Show Answer Correct Answer: A) F is one-one and onto. 42. What does the vertical line test determine? A) It determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function. B) It determines the slope of a graph. C) It determines the area under the graph. D) It determines if a graph is a straight line. Show Answer Correct Answer: A) It determines if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function. 43. Consider a non-empty set consisting of children in a family and a relation R defined as 'x R y' if x is brother of y. Then, R is A) Symmetric but not transitive. B) Transitive but not symmetric. C) Neither symmetric nor transitive. D) Both symmetric transitive. Show Answer Correct Answer: B) Transitive but not symmetric. 44. Information that can be represented by a set of ordered pairs. A) Function. B) Relation. C) Ordered Pair. D) Mapping. Show Answer Correct Answer: B) Relation. 45. Which is it? y$^{2}$ + 7x = 1 A) Linear. B) Non-linear. C) All the above. D) None of the above. Show Answer Correct Answer: B) Non-linear. 46. $f\left(n\right)=-n^3+2$ A) $f^{-1}\left(n\right)=2n^5$. B) $f^{-1}\left(n\right)=\left(n+1\right)^5$. C) $f^{-1}\left(n\right)=^3\sqrt{-n+2}$. D) $f^{-1}\left(n\right)=\left(n+3\right)^5$. Show Answer Correct Answer: C) $f^{-1}\left(n\right)=^3\sqrt{-n+2}$. 47. True or False:If there is only one point of intersection between the graph and the vertical line, then, the graph is a graph of a function. A) True. B) False. C) Trulse. D) None of the above. Show Answer Correct Answer: A) True. 48. Identify the range of the function k(x) = 3x-2. A) Numbers between 0 and 10. B) Integers greater than 5. C) All real numbers. D) Only positive numbers. Show Answer Correct Answer: C) All real numbers. 49. Use the relation:M = {(3, 6), (4, 4), (3, 4), (5, 8)}What is the Domain of set M? A) {4, 6, 8}. B) {6, 4, 4, 8}. C) (3, 4, 3, 5}. D) {3, 4, 5}. Show Answer Correct Answer: D) {3, 4, 5}. 50. Consider the function:{(3, 11), (4, 18), (5, 27), (6, 38)} What is the Range? A) {11, 18, 27, 38}. B) {4, 11, 5, 18}. C) {3, 11, 4, 18}. D) {3, 4, 5, 6}. Show Answer Correct Answer: A) {11, 18, 27, 38}. 51. Describe the transformation of the parent function in y = $(x + 3)^2-4$ A) The graph shifts left by 3 units and down by 4 units. B) The graph shifts right by 3 units and up by 4 units. C) The graph shifts right by 3 units and down by 4 units. D) The graph shifts left by 3 units and up by 4 units. Show Answer Correct Answer: A) The graph shifts left by 3 units and down by 4 units. 52. Define a relation in mathematics. A) A relation in mathematics is a single number. B) A relation in mathematics is a geometric shape. C) A relation in mathematics is a set of ordered pairs. D) A relation in mathematics is a set of unordered pairs. Show Answer Correct Answer: C) A relation in mathematics is a set of ordered pairs. 53. Trinity and Melanie are given a 5, 000 word essay assignment. Melanie has already typed 375 words and can type 45 words a minute. Trinity's typing rate is given by the equation $T=57w+290$ A) 12 minutes. B) 85 minutes. C) 75 minutes. D) 20 minutes. Show Answer Correct Answer: D) 20 minutes. 54. Give an example of a function that is not a relation. A) A function where the domain is not defined. B) A function where the range is not defined. C) A function where one output is related to multiple inputs. D) A function where one input is related to multiple outputs. Show Answer Correct Answer: D) A function where one input is related to multiple outputs. 55. Explain the concept of a composite function. A) A composite function is a function that combines two functions into one. B) A composite function is a function that results from applying one function to the output of another function. C) A composite function is a function that results from applying a function to itself. D) A composite function is a function that has no input parameters. Show Answer Correct Answer: B) A composite function is a function that results from applying one function to the output of another function. 56. A way to name a function that is defined by an equation. (Replace y with f(x).) A) Input. B) Vertical Line Test. C) Output. D) Function Notation. Show Answer Correct Answer: D) Function Notation. 57. If R is a relation on the set A = {1, 2, 3, 4, 5, 6, 7, 8, 9} given by x R y y = 3x, then R = A) {(3, 1), (6, 2), (8, 2), (9, 3)}. B) {(3, 1), (6, 2), (9, 3)}. C) {(3, 1), (2, 6), (3, 9)}. D) None of these. Show Answer Correct Answer: D) None of these. 58. What does it mean for a function to be increasing? A) A function is increasing if, as the x-values increase, the y-values also increase. B) A function is increasing if the y-values decrease as the x-values increase. C) A function is increasing if it has a maximum value. D) A function is increasing if it is defined for all real numbers. Show Answer Correct Answer: A) A function is increasing if, as the x-values increase, the y-values also increase. 59. What is an Empty 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: A) No element of A is related to any element of A. 60. What is the domain of the functionf(x) = 4 + 2xwhen the range is {0, 6}? A) {-2, 1}. B) {4, 16}. C) {4, 36}. D) {2, -1}. Show Answer Correct Answer: A) {-2, 1}. ← 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 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books