This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > Class 11 Mathematics Chapter 2 Relations And Functions – Quiz 2 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 2 Relations And Functions Quiz 2 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the property of an onto (or surjective) function? A) F(x1) = f(x2). B) F(x) = f(y). C) F(x) = y. D) F(x) = x. Show Answer Correct Answer: C) F(x) = y. 2. Which of the following ordered pairs, when graphed, would NOT pass the vertical line test for functions? A) {(-3, 2), (-1, 0), (1, 2), (3, 4)}. B) {(2, -3), (0, -1), (2, 1), (4, 3)}. C) {(0, -15), (4, -7), (8, 1), (12, 9)}. D) {(-15, 0), (-7, 4), (1, 8), (9, 12)}. Show Answer Correct Answer: B) {(2, -3), (0, -1), (2, 1), (4, 3)}. 3. Which of the following relations is NOT function? A) {(1, 1), (2, 2), (3, 3)}. B) {(0, 1), (3, 1), (4, 2)}. C) {(1, 2), (3, 4), (5, 6)}. D) {(1, 2), (2, 3), (2, 5)}. Show Answer Correct Answer: D) {(1, 2), (2, 3), (2, 5)}. 4. Calculate the domain of the function m(x) = 1/x. A) All real numbers except x = 2. B) All real numbers except x =-1. C) All real numbers except x = 1. D) All real numbers except x = 0. Show Answer Correct Answer: D) All real numbers except x = 0. 5. If f(x) = ax + b, where a and b are integers, f(-1) =-5 and f(3) = 3, then a and b are equal to A) A = 2, b = 3. B) A = 2, b =-3. C) A =-3, b =-1. D) A = 0, b = 2. Show Answer Correct Answer: B) A = 2, b =-3. 6. What is a relation in mathematics? A) A relation is a collection of random numbers. B) A relation is a single pair of elements from two sets. C) A relation is a set of ordered pairs that defines a relationship between elements of two sets. D) A relation is a function that maps one set to another. Show Answer Correct Answer: C) A relation is a set of ordered pairs that defines a relationship between elements of two sets. 7. F(x) = 2x$^{2}$ and g(x) = $\frac{1}{3x}$ A) $\frac{3}{2x^2}$. B) $\frac{2}{3x^2}$. C) $\frac{1}{6x^2}$. D) $\frac{2}{9x^2}$. Show Answer Correct Answer: D) $\frac{2}{9x^2}$. 8. An arrow diagram is a ..... of a relation . A) Builder method. B) Graphical representation. C) Roster. D) Visual representation. Show Answer Correct Answer: D) Visual representation. 9. If set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is A) 720. B) 120. C) 0. D) None of these. Show Answer Correct Answer: C) 0. 10. The principal value branch of $\sec^{-1}x$ A) $\left[-\frac{\pi}{2}, \frac{\pi}{2}\right]-\left\{0\right\}$. B) $\left(0, \\pi\right)$. C) $\left(-\frac{\pi}{2}, \\frac{\pi}{2}\right)$. D) $\left[0, \pi\right]-\left\{\frac{\pi}{2}\right\}$. Show Answer Correct Answer: D) $\left[0, \pi\right]-\left\{\frac{\pi}{2}\right\}$. 11. Given a set A = {a, b, c} Then the identity relation is the set A) {(a, a), (b, b), (c, c), (a, c)}. B) {(a, c), (a, b)}. C) {(a, a), (b, b), (c, c)}. D) {(a, a), (b, a), (c, a)}. Show Answer Correct Answer: D) {(a, a), (b, a), (c, a)}. 12. If the ordered pairs (a+2, 4) and (5, 2a+b) are equal then (a, b) is ..... A) (-2, 3). B) (3, 2). C) ( 3, -2). D) None of the above. Show Answer Correct Answer: C) ( 3, -2). 13. What is an Ordered Pair? A) A set of numbers, or coordinates written in the form (-x, -y). B) A set of numbers, or coordinates written in the form (y, x). C) A set of numbers, or coordinates written in the form (-y, -x). D) A set of numbers, or coordinates written in the form (x, y). Show Answer Correct Answer: D) A set of numbers, or coordinates written in the form (x, y). 14. From which college/university did Mr. Rhine graduate? A) Virginia Tech. B) Tidewater Comm. College. C) Ohio State. D) Penn State. Show Answer Correct Answer: C) Ohio State. 15. What is the range of the function $y = x^2-5$ A) {-5, -4}. B) {-6, -5, -4}. C) {-5, -4, -3}. D) {-6, -5}. Show Answer Correct Answer: A) {-5, -4}. 16. Range of F is equal to co-domain of F A) Real Valued Function. B) Onto Function. C) Into Function. D) Identity Function. Show Answer Correct Answer: B) Onto Function. 17. What is the inverse of the given coordinates:(1, 2) (3, 8) (-3, 6) A) (2, 1) (8, 3) (6, -3). B) (1, 2) (3, 8) (-3, 6). C) (1, 2) (8, 3) (-3, 6). D) (-1, -2) (-3, -8) (3, -6). Show Answer Correct Answer: A) (2, 1) (8, 3) (6, -3). 18. A function graphed with a line or smooth curve A) Discrete Graph. B) Relation. C) Continuous Graph. D) Other. Show Answer Correct Answer: C) Continuous Graph. 19. Given f(x) = x$^{2}$-7xFind f(8). A) F(8) = 8. B) F(8) =-3584. C) All the above. D) None of the above. Show Answer Correct Answer: A) F(8) = 8. 20. Let f(X) = $\sqrt[]{1+x^2}$ A) F(xy)=f(x).f(y). B) F(xy) $\ge$. C) F(xy) $\le$. D) None of these. Show Answer Correct Answer: C) F(xy) $\le$. 21. A set of ordered pairs A) Continuous Graph. B) Other. C) Relation. D) Discrete Graph. Show Answer Correct Answer: C) Relation. 22. If f:R $\rightarrow$ R be given by f(x) = (3-x$^{3}$)$^{1/3}$, then fof(x) is A) X. B) X$^{3}$. C) (3-x$^{3}$). D) X$^{1/3}$. Show Answer Correct Answer: A) X. 23. Lee charges $ 3 for a basket and $ 2.50 for each pound of apples picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of apples from the orchard. A) Y = 3x + 2.5. B) Y = 3x + 2.50. C) Y = 2.50x + 3. D) Y = 2.50x. Show Answer Correct Answer: C) Y = 2.50x + 3. 24. What is the domain of a function? A) The set of all possible input values (x-values) for which the function is defined. B) The set of all possible output values (y-values) of the function. C) The graphical representation of the function on a coordinate plane. D) The rate of change of the function with respect to its input. Show Answer Correct Answer: A) The set of all possible input values (x-values) for which the function is defined. 25. What is the Cartesian product of sets A and B? A) {(3, 1), (1, 4), (2, 3), (4, 2)}. B) {(3, 1), (4, 1), (3, 2), (4, 2)}. C) {(1, 3), (2, 4)}. D) {(1, 3), (1, 4), (2, 3), (2, 4)}. Show Answer Correct Answer: D) {(1, 3), (1, 4), (2, 3), (2, 4)}. 26. Consider the non-empty set consisting of children in a family and a relation R is defined as aRb where a is a brother of b. Then R is A) Symmetric but not transitive. B) Transitive but not symmetric. C) Neither symmetric nor transitive. D) Both symmetric and transitive. Show Answer Correct Answer: D) Both symmetric and transitive. 27. $y=\frac{1}{2}x+5$ A) $y=2x-5$. B) $y=2x-10$. C) $y=-\frac{1}{2}x-5$. D) $y=2x+10$. Show Answer Correct Answer: B) $y=2x-10$. 28. Which function has a graph that is a curve with varying degrees? A) Identity Function. B) Constant Function. C) Rational Function. D) Polynomial Function. Show Answer Correct Answer: D) Polynomial Function. 29. The set of second numbers (y-values) of the ordered pairs in a relation A) Range. B) Mapping. C) Domain. D) Function. Show Answer Correct Answer: A) Range. 30. Cartesian product of A and B is denoted by ..... A) AB. B) AXB. C) A+B. D) None of the above. Show Answer Correct Answer: B) AXB. 31. What is the y-intercept of a function? A) The minimum value of the function. B) The point where the graph intersects the y-axis when x = 0. C) The point where the graph intersects the x-axis. D) The maximum value of the function. Show Answer Correct Answer: B) The point where the graph intersects the y-axis when x = 0. 32. The number of constant functions from a set containing m elements to a set containing n elements is ..... A) M+n. B) Mn. C) M. D) N. Show Answer Correct Answer: D) N. 33. The x-intercepts of the graph of a function. The points for which f(x) = 0. A) Common Difference. B) Arithmetic Sequence. C) Zeros. D) Arithmetic Sequence Formula. Show Answer Correct Answer: C) Zeros. 34. The father of applied sciences is A) Gottfried Wilhelm Leibniz. B) Euclid. C) Henri Poincare. D) Thales. Show Answer Correct Answer: A) Gottfried Wilhelm Leibniz. 35. Find the range of f(x) = 7x-2, given the domain is D = {2, -1, 3}. A) {-9, 14, 19}. B) {-5, 12, 21}. C) {-7, 14, 21}. D) {-9, 12, 19}. Show Answer Correct Answer: D) {-9, 12, 19}. 36. Let R be a relation on the set L of lines defined by L1 R L2 if L1 is perpendicular to L 2, then relation R is A) Reflexive and symmetric. B) Symmetric and transitive. C) Equivalence relation. D) Symmetric. Show Answer Correct Answer: D) Symmetric. 37. A relation in which each element of the domain is paired with exactly one element of the range. This is typically generated by some rule. A) Function. B) Vertical line test. C) Relation. D) Mapping. Show Answer Correct Answer: A) Function. 38. If f(x) = 3x-7, find f(4). A) 5. B) 0. C) 14. D) 19. Show Answer Correct Answer: A) 5. 39. I know that a set of ordered pairs is NOT A FUNCTION if ..... A) Y values repeat. B) There is no initial value. C) X values repeat. D) None of the above. Show Answer Correct Answer: C) X values repeat. 40. If f(5)=8, and g(4)=5, then f(g(4)) is A) 5. B) 8. C) 13. D) 3. Show Answer Correct Answer: B) 8. 41. All of the x values of a relation are called what? A) Relation. B) Function. C) Domain. D) Range. Show Answer Correct Answer: C) Domain. 42. What is the graph of a rational function? A) Parabola. B) Horizontal line. C) Straight line passing through the origin. D) Curve with varying degrees. Show Answer Correct Answer: D) Curve with varying degrees. 43. If f:R $\rightarrow$ R is defined by f(x) = 3x + 2, define f \{f(x)\}. A) 9x$^{2}$ + 6x + 4. B) 9x$^{2}$ + 8. C) 9x + 8. D) 9x + 4. Show Answer Correct Answer: C) 9x + 8. 44. Given a set A = {1, 2, 3} and a relation R = {(1, 2), (2, 1)} Then R will be A) Symmetric if (2, 3) is added. B) Reflexive if (1, 1) is added. C) Transitive if (1, 1) is added. D) Symmetric if (2, 3) is added. Show Answer Correct Answer: C) Transitive if (1, 1) is added. 45. Identify the domain of the function f(x) = 1/(x-2). A) All real numbers. B) X = 2 only. C) X < 2. D) All real numbers except x = 2. Show Answer Correct Answer: D) All real numbers except x = 2. 46. $f\left(x\right)=5x-12$ $f\left(-4\right)$ A) -12. B) 3. C) -32. D) -3. Show Answer Correct Answer: C) -32. 47. Consider the function $f(x) = x^2$ $g(x)$ $f(x)$ $f(x)$ A) $g(x) =-x^2$. B) $g(x) =-5x^2$. C) $g(x) = x^2$. D) $g(x) = 5x^2$. Show Answer Correct Answer: B) $g(x) =-5x^2$. 48. Fill in the blank to make the solution of the inequality as y is all real numbers. $7\left(2-2y\right)>5y+\ldots-19y$ A) 16. B) 15. C) 14. D) 13. Show Answer Correct Answer: D) 13. 49. A ONE-ONE AND ONTO FUNCTION IS ALSO CALLED AS ONE-ONE ..... A) SINGLE FUNCTION. B) FULL FUNCTION. C) CORRESPONDENCE. D) NULL FUNCTION. Show Answer Correct Answer: C) CORRESPONDENCE. 50. What is the relationship between a function and its inverse? A) A function can have multiple inverses. B) The inverse of a function is always a linear function. C) A function and its inverse reverse each other's operations. D) A function and its inverse are identical. Show Answer Correct Answer: C) A function and its inverse reverse each other's operations. 51. What is the property of a one-one (or injective) function? A) F(x) = y. B) F(x) = x. C) F(x1) = f(x2). D) F(x) = f(y). Show Answer Correct Answer: C) F(x1) = f(x2). 52. What is the dependent 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: B) The output of a function (y value). 53. The ..... is used to determine whether or not a graph represents a function. A) Horizontal line test. B) Continuous function. C) Vertical line test. D) Discrete function. E) Function notation. Show Answer Correct Answer: C) Vertical line test. 54. Let S be the set of all straight lines in a plane. Let R be a relation on S defined by a R b $\Longleftrightarrow$ $a\perp b$ A) Transitive but neither reflexive nor symmetric. B) An equivalence relation. C) Reflexive but neither symmetric nor transitive. D) Symmetric but neither reflexive nor transitive. Show Answer Correct Answer: D) Symmetric but neither reflexive nor transitive. 55. Let $g\left(x\right)=\frac{4}{5}x-6$ A) 7.6. B) 10. C) -5. D) None of the above. Show Answer Correct Answer: B) 10. 56. F:A $\rightarrow$ B . If f is a bijective function and n(A) = 6 then which of following is not possible A) Number of elements in the range of f = 6. B) N(B) = 6. C) N(B) =8. D) None of the above. Show Answer Correct Answer: B) N(B) = 6. 57. Determine if the following set of ordered pairs is a function.{ (-3, 5) (-2, 0) (0, 4) (2, 0) (4, 12)} A) Function. B) Not a Function. C) All the above. D) None of the above. Show Answer Correct Answer: A) Function. 58. $f\left(x\right)=7x-2x+3$ $f\left(-4\right)$ A) $f\left(-4\right)=23$. B) $f\left(-4\right)=-23$. C) $f\left(-4\right)=-33$. D) $f\left(-4\right)=-17$. Show Answer Correct Answer: D) $f\left(-4\right)=-17$. 59. If $f\left(x\right)=3x^2-4$ $f\left(-3\right).$ A) $17$. B) $23$. C) $-31$. D) $12$. Show Answer Correct Answer: B) $23$. 60. What is the domain of the relation A = {(1, 3), (3, 5), (4, 6), (7, 9)}? A) {1, 3, 4, 7}. B) {3, 5, 6, 7}. C) {1, 3, 4, 5}. D) {1, 3, 4, 5, 6, 7}. Show Answer Correct Answer: A) {1, 3, 4, 7}. ← PreviousNext →Related QuizzesScience QuizzesClass 11 QuizzesClass 11 Mathematics Chapter 2 Relations And Functions Quiz 1Class 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