MTH202 Quiz 2 by VU Topper RM

Range of function \[f(x) = {e^x}\] is................. A. Set of integers B. Set of negative Real number.

C. Set of positive Real numbers

D. Set of Real number

The logic gate NOT is a uniary operation on {0,1}. A. false

B. true

A. 2

B. 1 C. 0 D. 3

GIven a Set A={ a,b} and B={1,2,3}, then number of functions from A to B is .............. A. 6 B. 8 C. 5

D. 9

How many one-to-one functions are there from a set with five elements to a set with six elements. A. 3 factorial (3!) B. 4 factorial(4!)

C. 6 factorial(6!)

D. 5 factorial(5!)

A graph of a function f is one to one iff every horizontal line intersects the graph in at most one point.

A. true

B. false

Which is not a binary operation on the set of natural numbers N?

1. Multiplication
2. Subtraction
3. None of these.
4. Addition

Correct answer: Subtraction

The relation R = {(12, 14), (13, 5), (-2, 7), (x, 13)} is a function if x is not equal to A. 14, 7 or 13. B. 12, 13 or 2. C. 12, 13 or -2. D. 14, 5 or 7.

Letf(x)=xandg(x)=−xforallx∈R,then(f+g)(x)is____. A. -x

B. 0

C. 2x D. -2x

The Range off:X→Yis also called the image of Xunder

A. true

B. false

Which of the following relations are functions?R1 ={(3, 4),(4, 5),(6,

7. ,(8, 9)}, R2 ={(3, 4),(4, 5),(6, 7),(3, 9)}, R3 ={(-3, 4),(4, -5),(0, 0),(8,

Q9. }, R4 ={(8, 11),(34, 5),(6, 17),(8, 19)}

1. R3 and R2 are functions
2. R1 and R3 are functions
3. R1 and R2 are functions
4. R2 and R4 are functions

Correct answer: R3 and R2 are functions

Cardinality of positive prime numbers less than 20 is ………. A. 5 B. 10

C. 8

D. 20

Which of the following is not a binary operation on the set of Integers?

1. Multiplication
2. Subtraction
3. Addition
4. Division

Correct answer: Division

A set is countably infinite if,and only if,it has the same cardinality as the set of ....... A. whole numbers B. real numbers

C. positive integers

D. integers

Let f be a function from X = {2, 4, 5} to Y = {1, 2, 4, 6} defined as f = {(2, 6), (4, 2), (5, 1)}. Then the range of f is ________ . A. {2, 4, 5}

B. {1, 2, 6}

C. {1, 4, 6} D. {1, 2, 4, 6}

A function f:R→R defined by f(x)=x−−√ is a real valued function. A. true

B. false

A graph of a function f is onto iff every horizontal line intersects the graph in at least one point.