# Domain and Range of Functions

1. 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)= x1/2?
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) = 2x then range of the function is?
a) (-∞, ∞)
b) (-∞, ∞) – {0}
c) (0, ∞)
d) None of the mentioned

9. If f(x) = x2 + 4 then range of f(x) is given by?
a) [4, ∞)
b) (-∞, ∞) – {0}
c) (0, ∞)
d) None of the mentioned

10. Let f(x)=sin2(x) + log(x) then domain of f(x) is (-∞, ∞).
a) True
b) False