Question

Identify the domain and range of the function f(x), defined in N, as below:

• A. {1, 2, 3} and {2, 4, 6}
• B. {1, 3, 5} and {2, 4, 6}
• C. {1, 2, 3, 4, 5} and {2, 3, 5}
• D. {1, 2, 4} and {2, 4, 6}

Answer 1

The correct option is C

{1, 2, 3, 4, 5} and {2, 3, 5}

f(x) is defined if 1 ≤ x < 2 or 2 ≤ x < 4 or 4 ≤ x < 6

Domain = {1} ∪ {2, 3} ∪ {4, 5} = {1, 2, 3, 4, 5}

Range = {f(x): x =1, 2, 3, 4, 5} i.e. {2, 3, 5}