This quiz works best with JavaScript enabled. Home > Class 11 > 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 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 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) Mapping. B) Vertical line test. C) Relation. D) Function. Show Answer Correct Answer: D) Function. 2. If f(x) = 3x-7, find f(4). A) 0. B) 5. C) 14. D) 19. Show Answer Correct Answer: B) 5. 3. 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. 4. If f(5)=8, and g(4)=5, then f(g(4)) is A) 13. B) 3. C) 8. D) 5. Show Answer Correct Answer: C) 8. 5. All of the x values of a relation are called what? A) Domain. B) Range. C) Relation. D) Function. Show Answer Correct Answer: A) Domain. 6. What is the graph of a rational function? A) Straight line passing through the origin. B) Horizontal line. C) Parabola. D) Curve with varying degrees. Show Answer Correct Answer: D) Curve with varying degrees. 7. Which of the following statements is NOT true about functions? A) All functions are relations. B) All relations are functions. C) Functions are usually denoted by small letters. D) A function has no two distinct ordered pairs that have equal abscissas. Show Answer Correct Answer: B) All relations are functions. 8. If f:R $\rightarrow$ R is defined by f(x) = 3x + 2, define f \{f(x)\}. A) 9x + 4. B) 9x$^{2}$ + 6x + 4. C) 9x + 8. D) 9x$^{2}$ + 8. Show Answer Correct Answer: C) 9x + 8. 9. Given a set A = \{1, 2, 3\} and a relation R = \{(1, 2), (2, 1)\} Then R will be A) Reflexive if (1, 1) is added. B) Symmetric if (2, 3) 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. 10. 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. 11. $f\left(x\right)=5x-12$ $f\left(-4\right)$ A) -32. B) -3. C) -12. D) 3. Show Answer Correct Answer: A) -32. 12. Consider the function $f(x) = x^2$ $g(x)$ $f(x)$ $f(x)$ A) $g(x) =-5x^2$. B) $g(x) = 5x^2$. C) $g(x) =-x^2$. D) $g(x) = x^2$. Show Answer Correct Answer: A) $g(x) =-5x^2$. 13. 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. 14. A ONE-ONE AND ONTO FUNCTION IS ALSO CALLED AS ONE-ONE ..... A) FULL FUNCTION. B) CORRESPONDENCE. C) NULL FUNCTION. D) SINGLE FUNCTION. Show Answer Correct Answer: B) CORRESPONDENCE. 15. 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. 16. What is the property of a one-one (or injective) function? A) F(x1) = f(x2). B) F(x) = f(y). C) F(x) = y. D) F(x) = x. Show Answer Correct Answer: A) F(x1) = f(x2). 17. 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). 18. The ..... is used to determine whether or not a graph represents a function. A) Function notation. B) Discrete function. C) Continuous function. D) Vertical line test. E) Horizontal line test. Show Answer Correct Answer: D) Vertical line test. 19. 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) Reflexive but neither symmetric nor transitive. B) Symmetric but neither reflexive nor transitive. C) Transitive but neither reflexive nor symmetric. D) An equivalence relation. Show Answer Correct Answer: B) Symmetric but neither reflexive nor transitive. 20. 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. 21. 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. 22. 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. 23. $f\left(x\right)=7x-2x+3$ $f\left(-4\right)$ A) $f\left(-4\right)=-33$. B) $f\left(-4\right)=-17$. C) $f\left(-4\right)=-23$. D) $f\left(-4\right)=23$. Show Answer Correct Answer: B) $f\left(-4\right)=-17$. 24. If $f\left(x\right)=3x^2-4$ $f\left(-3\right).$ A) $-31$. B) $12$. C) $17$. D) $23$. Show Answer Correct Answer: D) $23$. 25. What is the domain of the relation A = \{(1, 3), (3, 5), (4, 6), (7, 9)\}? A) \{1, 3, 4, 5\}. B) \{3, 5, 6, 7\}. C) \{1, 3, 4, 5, 6, 7\}. D) \{1, 3, 4, 7\}. Show Answer Correct Answer: D) \{1, 3, 4, 7\}. ← PreviousNext →Related 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 9Class 11 Mathematics Chapter 2 Relations And Functions Quiz 10Class 11 Mathematics Chapter 2 Relations And Functions Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books