Question

The function $f:\text{N}\to \text{R}$ is defined by $f\left(\text{n}\right)=2^{\text{n}}$. Find the range of the function.

• A. The set of all even positive integers
• B. $\text{N}$
• C. $\text{R}$
• D. A subset of the set of all even positive integers

Answer 1

The correct option is D A subset of the set of all even positive integers

Given: $f\left(\text{n}\right)=2^{\text{n}}$
The value of $2^{\text{n}}$ is an even positive integer for every natural number $\text{n}$.
Hence, the range of the function is a subset of all even positive integers.