MTH202 Quiz 2 Spring 2021

Quiz 2 spring 2021 181 mcqs · Searching file mth202 · Owner of David worriors

1. A function whose range consists of only one element is called________ One to one function

2. The set Z of all integers is ___________ · Countable · 3. One-to-one correspondence means the condition of _______

Q4. Let X={1,5,9} and Y={3,4,7}, Define a function f from X to Y such that f(1)=7,f(5)=3,f(9)=_________. Which is true f(9) to make it a one-to-one (injective) function?

Q5. What will be the fourth term of the following sequence 1/2,2/3,3/4 ______?

6. The value of 6!=

7. A constant function is one to one iff its ________ is a singleton. Domain

8. A constant function is onto iff its ___________ is a singleton.

Co-domain

9. Number of one to one functions from X={a,b} to Y={u,v} are equal to ______-

10. If f is defined recursively by f(0) = -1 and f(n+1)=f(n)+3, then f(2)=_________.

11. A function whose inverse function exists is called a/an__________ Invertible function

12. Let f(2)=3, g(2)=3, f(4)=1 and g(4)=2 then the value of fog(4) is……

13. Let A={1,2,3,4} and B={7} then the constant function from A to B is ________. Onto

14. Composition of a function is a commutative operation. False

15. Composition of a function is not a commutative operation True

16. The sum of first five whole number is __________.
17. If f and g are two one-to-one functions, then their composition that is gof is one-to- one.

True

18. Inverse of a surjective function is always a function. False

19. Inverse of a surjective function may not be a function True

Q20. Let X={1,2,3,4} and Y={7,8,9} and let f be function defined from X to Y such that f is onto then which of the following statement about f is true?

Co-domain of f must contain 3 elements

21. If f; X->Y and g; Y->Z are both onto functions. Then gof; X->Z is _________ onto

22. If f and g are two one-to-one functions, then their composition gof is_________ One-to-one

23. If f: W →X, g:X →Y, and h:Y →Z are functions, then___________ (hog)of = ho(gof)

24. Cardinality of positive prime numbers less than 20 is __________.

25. IF f(x)=sin-1(x) and g(x)=sin x then gof(x) is _________. X

26. 0!=_________.
27. An important data type in computer programming consists of __________. Finite sequences

28. Let f(x)=2x and g(x)=x+2 define functions f and g from R to R, then (f-g)(x) is

x-2

29. The total number of terms in an arithmetic series 0+5+10+15+….50 are _________.