Question

The function f:N-> R is defined by f(n)=2^n. the range of the function is
a) the set of all even positive integers
b) N
c) R
d) a subset of set of all even positive integers​

Answer 1

Answer:

OPTION D

Step-by-step explanation:

The function f ( n ) = 2ⁿ .

2ⁿ will contain all even numbers because every number is obtained by multiplying 2 .

For example :

2⁵ = 32 .

2⁷ = 128 .

2⁴ = 16 ,

Thus we come to a conclusion that the function f ( n ) will contain all positive numbers and all are even numbers .

Therefore the answer cannot be OPTION A because it also contains odd numbers ,

OPTION D is the correct answer .