JEE Main 2017 — Functions Question with Solution
From: JEE Main 2017 (Online) 9th April Morning Slot
Question
The function f : N N defined by f (x) = x 5 Where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is :
Choose an option
Show full solutionCorrect option: D
Correct answer
Dneither one-one nor onto.
Step-by-step explanation
f(1) = 1 - 5 = 1
f(6) = 6 - 5 = 1
So, this function is many to one.
f(10) = 10 - 5 = 0 which is not present in the set of natural numbers.
So this function is neither one-one nor onto.
f(6) = 6 - 5 = 1
So, this function is many to one.
f(10) = 10 - 5 = 0 which is not present in the set of natural numbers.
So this function is neither one-one nor onto.
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