**What is the domain of a function?**

**a) the maximal set of numbers for which a function is defined**

b) the maximal set of numbers which a function can take values

c) it is a set of natural numbers for which a function is defined

d) none of the mentioned

**2. What is domain of function f(x)= x ^{1/2}?**a) (2, ∞)

b) (-∞, 1)

**c) [0, ∞)**

d) None of the mentioned

Explanation: A square root function is not defined for negative real numbers.

**3. What is the range of a function?**

a) the maximal set of numbers for which a function is defined**b) the maximal set of numbers which a function can take values**

c) it is set of natural numbers for which a function is defined

d) none of the mentioned

.

**4. What is domain of function f(x) = x ^{-1} for it to be defined everywhere on domain?**a) (2, ∞)

**b) (-∞, ∞) – {0}**

c) [0, ∞)

d) None of the mentioned

**5. The range of function f(x) = sin(x) is (-∞, ∞).**

a) True**b) False**

**6. Codomain is the subset of range**.

a) True**b) False**

**7. What is range of function f(x) = x ^{-1} which is defined everywhere on its domain?**

**a) (-∞, ∞)**

**b) (-∞, ∞) – {0}**

c) [0, ∞)

d) None of the mentioned

**8. If f(x) = 2 ^{x} then range of the function is?**a) (-∞, ∞)

b) (-∞, ∞) – {0}

**c) (0, ∞)**

d) None of the mentioned

**9. If f(x) = x ^{2} + 4 then range of f(x) is given by?**

**a) [4, ∞)**

b) (-∞, ∞) – {0}

c) (0, ∞)

d) None of the mentioned

**10. Let f(x)=sin**

^{2}(x) + log(x) then domain of f(x) is (-∞, ∞).a) True

**b) False**