This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 5 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Determine the type of relation:voters to their corresponding thumbmark A) One-to-one. B) Many-to-one. C) One-to-many. D) None of the above. Show Answer Correct Answer: A) One-to-one. 2. If f(x) = 5 + 3x, what is f(x-1)? A) 3x + 4. B) 3x + 2. C) 5x. D) 7x. Show Answer Correct Answer: B) 3x + 2. 3. For a graph of a relation to pass the vertical line test the line may only touch the graph: A) One time. B) Two times. C) Three times. D) Not at all. Show Answer Correct Answer: A) One time. 4. TRUE or FALSE. An Independent variable is the input value in a function while a Dependent variable is the output value in a function. A) TRUE. B) FALSE. C) All the above. D) None of the above. Show Answer Correct Answer: A) TRUE. 5. Illustrates how each element of the domain is paired with an element of the range A) Range. B) Domain. C) Mapping. D) Function. Show Answer Correct Answer: C) Mapping. 6. What is a set of ordered pairs? A) Pythagorean theorem. B) Relation. C) Volume. D) Translation. Show Answer Correct Answer: B) Relation. 7. What is the identity function? Provide an example. A) The identity function is a constant function. An example is f(x) = 3. B) The identity function is defined as f(x) = 2x. An example is f(5) = 10. C) The identity function is defined as f(x) = x. An example is f(5) = 5. D) The identity function is defined as f(x) = x + 1. An example is f(5) = 6. Show Answer Correct Answer: C) The identity function is defined as f(x) = x. An example is f(5) = 5. 8. What is f(6) for the function f(x) = 3x-8 A) 10. B) -144. C) -8. D) 18x-48. Show Answer Correct Answer: A) 10. 9. Determine if the following is a function:{(-4, -2) (-3, -2) (-2, -2, ) (-1, 4) (0, 1)} A) FUNCTION. B) NOT A FUNCTION. C) All the above. D) None of the above. Show Answer Correct Answer: A) FUNCTION. 10. If A = {1, 2}, B = {1, 2, 3, 4}, C = {5, 6} and D={5, 6, 7, 8} then state which of the following statement is true. A) (B $\times$ $\subset$ $\times$. B) (A $\times$ $\subset$ $\times$. C) (D $\times$ $\subset$ $\times$. D) (A $\times$ $\subset$ $\times$. Show Answer Correct Answer: B) (A $\times$ $\subset$ $\times$. 11. It is a set of ordered pairs. It is the pairing or association of some kind between quantities. A) Range. B) Function. C) Domain. D) Relation. Show Answer Correct Answer: D) Relation. 12. What is the y-intercept of $5x+y=-4$ A) $\left(0, 4\right)$. B) $\left(0, \-4\right)$. C) $\left(0, 5\right)$. D) $\left(0, -5\right)$. Show Answer Correct Answer: B) $\left(0, \-4\right)$. 13. What is the range of the function:y = 2x+3 if the domain has value of-3? A) 3. B) 7. C) -3. D) 5. Show Answer Correct Answer: C) -3. 14. Solve 3x-(x-4) = 18 A) 7. B) 11. C) 7/2. D) 11/2. Show Answer Correct Answer: A) 7. 15. Define equivalence relation and give an example. A) An example of an equivalence relation is 'congruence modulo n' on the set of integers, where two integers a and b are considered equivalent if their difference is divisible by n. B) All integers are equivalent to zero. C) An example of an equivalence relation is 'greater than' on real numbers. D) Two integers are equivalent if they are both even. Show Answer Correct Answer: A) An example of an equivalence relation is 'congruence modulo n' on the set of integers, where two integers a and b are considered equivalent if their difference is divisible by n. 16. TRUE OR FALSE:If the RANGE of a function is (4, 2], then the DOMAIN of the INVERSE function will also be (4, 2]. A) False. B) True. C) All the above. D) None of the above. Show Answer Correct Answer: B) True. 17. The value of $\tan^{-1}\sqrt{3}-\cot^{-1}\left(-\sqrt{3}\right)$ A) $-\frac{3\pi}{2}$. B) $\frac{3\pi}{2}$. C) $\frac{\pi}{2}$. D) $-\frac{\pi}{2}$. Show Answer Correct Answer: D) $-\frac{\pi}{2}$. 18. Which of the following is not a function? A) {(1, 3), (4, 2), (2, 0), (3, 4)}. B) {(0, 1), (1, 2), (2, 3), (3, 4)}. C) {(1, 2), (2, 2), (3, 2), (4, 2)}. D) {(0, 2), (1, 3), (4, 3), (1, 2)}. Show Answer Correct Answer: D) {(0, 2), (1, 3), (4, 3), (1, 2)}. 19. $f\left(x\right)=x^2+2$ $f\left(-3a\right)$ A) $9a^2+2$. B) $-3a^2+2$. C) $-9a^2+2$. D) $9a+2$. Show Answer Correct Answer: A) $9a^2+2$. 20. Relation or Function? {(4, 5), (4, -7), (4, 2), (4, 0), (4, 9)} A) Relation and Function. B) Relation only. C) Function only. D) None of the above. Show Answer Correct Answer: B) Relation only. 21. A collection of ordered pairs in which the first element is related to the second element. A) Function. B) Range. C) Relation. D) Domain. Show Answer Correct Answer: C) Relation. 22. If the ordered pairs (a+2, 4) and (a, 2a+b) arre equal then (a, b) is A) (2, 3). B) (2, -2). C) (3, -2). D) (5, 1). Show Answer Correct Answer: C) (3, -2). 23. What is the range of the following relation:(9, -2) (4, 3) ( 8, 10) (-4, 8) A) {-2, 3, 8, 10}. B) {-4, 4, 8, 9}. C) {(8, 10) (-4, 8)}. D) {(9, -2) ( 4, 3)}. Show Answer Correct Answer: A) {-2, 3, 8, 10}. 24. Determine f$^{-1}$(2) given the following information about an invertible function, f(x)f(1) =-3f(2) =-2f(-1) = 2f(3) =-1 A) 2. B) -2. C) -1. D) 1. Show Answer Correct Answer: C) -1. 25. The "equal to (=)" relation is an example of an ..... relation. A) Universal. B) Identity. C) Empty. D) Equivalence. Show Answer Correct Answer: D) Equivalence. 26. What is this an example of?(-1, 7) A) Ordered pair. B) Y-coordinate. C) X-coordinate. D) Function. Show Answer Correct Answer: A) Ordered pair. 27. A way of renaming an equation by replacing y with f(x) A) Function notation. B) Mapping. C) Vertical line test. D) Arithmetic sequence. Show Answer Correct Answer: A) Function notation. 28. The maximum number of equivalence relations on the set $A=\left\{1, 2, 3\right\}$ A) 3. B) 5. C) 1. D) 2. Show Answer Correct Answer: B) 5. 29. Explain how to find the inverse of a function graphically. A) Reflect the graph of the function across the line y = x. B) Rotate the graph 90 degrees clockwise. C) Translate the graph up by 2 units. D) Stretch the graph horizontally by a factor of 2. Show Answer Correct Answer: A) Reflect the graph of the function across the line y = x. 30. If f(x) = 2x + 1, what would be your first step to find f(1)? A) Substitute a 1 in for all the x's. B) Set the function equal to 1. C) Only substitute a 1 into the left side. D) Only substitute a 1 into the right side. Show Answer Correct Answer: A) Substitute a 1 in for all the x's. 31. Yana is 5 years older than MarkWhat is the relation if Mark is represented by x? A) 5-x. B) 5x. C) X-5. D) 5 + x. Show Answer Correct Answer: D) 5 + x. 32. Which set of ordered pairs is not a function? A) (-9, 4), (-6, 3), (-2, 8), (0, 21). B) (1, 2), (3, 5), (6, 9), (7, 11). C) (1, 3), (2, 7), (3, 8), (4, 11). D) (2, 3), (4, 9), (3, 8), (4, 15). Show Answer Correct Answer: D) (2, 3), (4, 9), (3, 8), (4, 15). 33. THE CARTESIAN PRODUCT IS ALSO REFERRED AS ..... A) SINE PRODUCT. B) COSINE PRODUCT. C) MEDIAN PRODUCT. D) CROSS PRODUCT. Show Answer Correct Answer: D) CROSS PRODUCT. 34. The y-value of an ordered pair, represents the vertical placement of the point A) Ordered Pair. B) Origin. C) X-coordinate. D) Y-coordinate. Show Answer Correct Answer: D) Y-coordinate. 35. Let f be a function on set A = {1, 2, 3, 4, 5} such that f = {(1, 2) (2, 3), (3, 4) (4, x), (5, 5) }. If f is bijective function then value of x = A) 5. B) 3. C) 1. D) None of these. Show Answer Correct Answer: C) 1. 36. A relation can be represented by ..... A) Chocolate or Cheese. B) Words or Letter or Numbers. C) Ordered pairs or a mapping diagram. D) Math and Lunch. Show Answer Correct Answer: C) Ordered pairs or a mapping diagram. 37. If A = {1, 2, 3} and relation R = {(2, 3)} in A. Relation R is A) Reflexive. B) Symmetric. C) Transitive. D) None of these. Show Answer Correct Answer: C) Transitive. 38. Is the relation {(1, 2), (2, 3), (3, 4)} a function? A) Maybe. B) No. C) Sometimes. D) Yes. Show Answer Correct Answer: D) Yes. 39. A formula used to find the nth term of an arithmetic sequence. $a_n=d\left(n-1\right)+a_1$ A) Arithmetic Sequence Formula. B) Zeros. C) Arithmetic Sequence. D) Common Difference. Show Answer Correct Answer: A) Arithmetic Sequence Formula. 40. In the situation:The human hair grows 0.5 mm per day, and in a certain number of days (n) since your last haircut how long will your hair grew (g)? Which of the following is the independent variable? A) Length of hair. B) Number of days. C) The haircut. D) 0.5mm. Show Answer Correct Answer: B) Number of days. 41. What is the vertical line test? A) A technique used to find the slope of a line on a graph. B) A way to measure the area under a curve in calculus. C) A test to check if a graph is symmetrical about the y-axis. D) A method to determine if a graph represents a function by checking if a vertical line intersects the graph at more than one point. Show Answer Correct Answer: D) A method to determine if a graph represents a function by checking if a vertical line intersects the graph at more than one point. 42. If g(x) = 2x + 5, what is the value of g(4)? A) 29. B) 9. C) 22. D) 13. Show Answer Correct Answer: D) 13. 43. The function $y=45x+300$ A) The number of pieces of furniture bought. B) The monthly payment amount. C) The number of months to pay off the balance. D) The amount of the down payment. Show Answer Correct Answer: D) The amount of the down payment. 44. Determine the type of relation:a region in the Philippines and its provinces A) One-to-one. B) Many-to-one. C) One-to-many. D) None of the above. Show Answer Correct Answer: C) One-to-many. 45. If $f(x)=7x-4$ $f\left(3\right)$ A) $f\left(3\right)=-25$. B) $f\left(3\right)=-4$. C) $f\left(3\right)=17$. D) $f\left(3\right)=-18$. Show Answer Correct Answer: C) $f\left(3\right)=17$. 46. Determine if (-3, -7) is a solution to 3x+2y=-23 A) Not a Solution. B) Solution. C) All the above. D) None of the above. Show Answer Correct Answer: B) Solution. 47. A set of input and output values; usually represented in ordered pairs A) Origin. B) Relation. C) Variable. D) Rule. Show Answer Correct Answer: B) Relation. 48. All of the y values of a relation are called what? A) Range. B) Relation. C) Domain. D) Function. Show Answer Correct Answer: A) Range. 49. Which of the following are ways to find the rate of change? A) Change in y over change in x. B) Rise over run. C) Subtract y coordinates over subtract x coordinates. D) All of the above. Show Answer Correct Answer: D) All of the above. 50. F(x)=x$^{2}$-5xf(4)= A) 84. B) 126. C) 24. D) -4. Show Answer Correct Answer: D) -4. 51. Let A = {1, 2, 3} and consider the relationR = {(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. 52. Range of f(x)= $\frac{1}{1-2\cos x}$ A) [1/3, 1]. B) [-1, 1/3]. C) [1, 2]. D) None of these. Show Answer Correct Answer: B) [-1, 1/3]. 53. Each element of the domain is paired with an element of the range A) Relation. B) Function. C) Mapping. D) Domain. Show Answer Correct Answer: C) Mapping. 54. A set of ordered pairs that may or may not be a function is called A) An output. B) A relation. C) A domain. D) A range. Show Answer Correct Answer: B) A relation. 55. $f\left(x\right)=x^{-2}+4$ A) Non-Linear. B) Linear. C) All the above. D) None of the above. Show Answer Correct Answer: A) Non-Linear. 56. Let A = {M, A, T, H} and B = {1, 2, 3, 4, 5}. Given the relation of every vowel letters in set A to every even number in set B. Which of the following belongs to the given relation? A) (M, 2). B) (A, 3). C) (A, 4). D) (A, 1). Show Answer Correct Answer: C) (A, 4). 57. Marie is trying to relate the cities from where its location in island groups. Which of the following is NOT part of Marie's relation? A) (Manila, Luzon). B) (Pasig, Luzon). C) (Zamboanga, Visayas}. D) (Cebu, Visayas). Show Answer Correct Answer: C) (Zamboanga, Visayas}. 58. For real numbers x and y, define xRy if and only if x-y is divisible by 3. Then the relation R is A) Only reflexive. B) Reflexive and symmetric. C) Reflexive but not transitive. D) Reflexive, symmetric and transitive. Show Answer Correct Answer: D) Reflexive, symmetric and transitive. 59. $y=2\left(3x-5\right)$ A) $y=\frac{1}{6}x+\frac{5}{3}$. B) $y=\frac{1}{6}x-\frac{5}{3}$. C) $y=-x+\frac{5}{3}$. D) $y=-\frac{3}{5}x+6$. Show Answer Correct Answer: A) $y=\frac{1}{6}x+\frac{5}{3}$. 60. If a relation passes the vertical line test, is it a function? A) Yes. B) No. C) Depends on the equation. D) Sometimes. Show Answer Correct Answer: A) Yes. ← 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 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