The set of odd numbers corresponding to this set of even numbers will be {−1, 3, 7, 11, 15}.
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
If x is an even number, the function f(x) = 2x − 1 gives an odd number.
Even number – The number is divisible by 2 then the number will be an even number.
Odd number – The number is not divisible by 2 then the number will be an odd number.
Then the set of odd numbers corresponding to this set of even numbers: {0, 2, 4, 6, 8} will be
At x = 0, we have
f(x) = 2(0) − 1
f(x) = −1
At x = 2, we have
f(x) = 2(2) − 1
f(x) = 3
At x = 4, we have
f(x) = 2(4) − 1
f(x) = 7
At x = 6, we have
f(x) = 2(6) − 1
f(x) = 11
At x = 8, we have
f(x) = 2(8) − 1
f(x) = 15
The set of odd numbers corresponding to this set of even numbers will be {−1, 3, 7, 11, 15}.
More about the function link is given below.
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