if a function defined as f : N → N f(x) = (x - 1)/2 Then which of the following is true regarding this function?

Onto function
Into Function
Incorrect data
One one

LohaHridoy

4 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 3 : Incorrect data

Given: f(x) = (x - 1)/2 = y

This given function is defined for the domain as N which is having the codomain as N

Explanation:

Definition of a function:

Note that the given expression is not a function by the definition of the function.
A single-valued function is a function for each point in the domain, that has a unique value in the range.
Also we know that the range is the subset of codomain.

Here, for, x = 1 → y = 0 which is not the element of codomain N, so for this value of x in the domain we do not get any image or output which is violating the definition of the function.

So, the given expression is not a function actually so the given data is invalid.

4 views Answered 2022-09-04 04:29

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