**1. A function is said to be ______________ if and only if f(a) = f(b) implies that a = b for all a and b in the domain of f.**a) One-to-many

**b) One-to-one**

c) Many-to-many

d) Many-to-one

.

**2. The function f(x)=x+1 from the set of integers to itself is onto. Is it True or False?**

**a) True**

b) False

.

**3. The value of ****⌊****1/2.****⌊****5/2****⌋**** ****⌋**** is ______________**

**a) 1**

b) 2

c) 3

d) 0.5

Explanation: The value of ⌊5/2⌋ is 2 so, the value of ⌊1/2.2⌋ is 1.

**4. Which of the following function f: Z X Z → Z is not onto?**a) f(a, b) = a + b

b) f(a, b) = a

**c) f(a, b) = |b|**

**d) f(a, b) = a – b**

**5. The domain of the function that assign to each pair of integers the maximum of these two integers is ___________**a) N

b) Z

c) Z

^{+}

**d) Z**

^{+}X Z^{+}

**6. Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ____________**

**a) 6x + 9**

**b) 6x + 7**

c) 6x + 6

d) 6x + 8

**7. __________ bytes are required to encode 2000 bits of data.**a) 1

**b) 2**

c) 3

d) 8

Explanation: Two bytes are required to encode 2000 (actually with 2 bytes you can encode up to and including 65,535.

**8. The inverse of function f(x) = x ^{3} + 2 is ____________**a) f

^{ -1 }(y) = (y – 2)

^{ 1/2}

**b) f**

^{ -1 }(y) = (y – 2)^{ 1/3}**c) f**

^{ -1 }(y) = (y)

^{ 1/3}

d) f

^{ -1 }(y) = (y – 2)

**9. The function f(x) = x ^{3} is bijection from R to R. Is it True or False?**

**a) True**

**b) False**

**10. The g ^{-1}({0}) for the function g(x)= **

**⌊**

**x**

**⌋**

**is ___________**

a) {x | 0 ≤ x < 1}

b) {x | 0 < x ≤ 1}

c) {x | 0 < x < 1}

**d) {x | 0 ≤ x ≤ 1}**