Class 11 Mathematics Chapter 2 Relations And Functions Quiz 19 (25 MCQs)

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1. Which input will result in an output of 12 for the following function? $d\left(x\right)=x^2+3$
2. Given the points (3, 5) (2, 4) (9, 0) and (?, 6). What could replace the? to create a non-function?
3. Find x and y if:(4x + 3, y) = (3x + 5, -2)
4. The set of the second elements of the ordered pairs forming a relation is called its
5. 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.
6. Which value can take b in the following function f(x)=\{(2, 1), (3, 5 ), (4, 7), (-1, -3), (-2, -5), (b, -1)\}
7. Given the list of ordered pairs, what is the x-intercept?(8, 10), (3, -4), (0, 8), (4, -3), (9, 0)
8. What does it mean for a function to be decreasing?
9. What is the domain?
10. P(x) = 3x + 4q(x) = 2x$^{2}$Find p(q(x))
11. Give the range of the set of ordered pairs:(2, 11), (9, -3), (7, 21), (-8, 6)
12. 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.
13. FInd the inverse of the function. $f\left(x\right)=\frac{3x-15}{2}$
14. (3, -3) (2, -4) (5, 0) (1, -2)What is the domain of this relation?
15. If f is a bijection from A to B and n (A)=7 then n (B)=??
16. Molly investigated if the age of students caused them to be better drivers. What is the independent variable?
17. Which equation is linear?(You may check with Desmos)
18. A non-linear function can be represented by all of the following EXCEPT:
19. If f is a bijection from A to B, then n(A)= n(B).
20. The x-value of an ordered pair, represents the horizontal placement of the point
21. 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.
22. List and explain two properties of relations.
23. Let w(x) = 3x-7. If w(x) = 14, find x.
24. Inverse Function
25. The following relation is a function. \{(10, 12), (5, 3), (15, 10), (5, 6), (1, 0)\}