Below are words which can be associated with one-to-one functions. Write a
statement below that may prove it is an example of one-to-one function.
Example: Passport ID
Answer: A person has only one passport ID.
1. Citizenship
2. Fare
3. Car
4. Area of a circle.
5. Soap
Answers
Answer:
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Answer:
A one-to-one function is a function of which the answers never repeat. For example, the function f(x) = x + 1 is a one-to-one function because it produces a different answer for every input.
Step-by-step explanation:
Step : 1 Examples of one-to-one interactions in the home include the following: There is only one family residing in the single home. One passport belongs to one individual, and that person is the only one who may use it. In essence, a one-to-one function refers to the mapping of two sets. If every element in a function's range and domain correspond to the same single element, the function is said to be one-to-one. The symbol for one-to-one is 1-1.
Step : 2 A one-to-one function is one that provides a distinct result for a different input x, as in the case of the function f(x) = x + 5. A function must also return a distinct range for each element in its scope in order to be one to one. If x is 1, f(x) yields 6, if x is 2, f(x) returns 7, and so on. A function is one-to-one if each horizontal line crosses the function's graph no more than once.
Step : 3 If a set A has m elements and set B has n elements, then the number of functions possible from A to B is nm. For example, if set A = {3, 4, 5}, B = {a, b}. If a set A has m elements and set B has n elements, then the number of onto functions from A to B = nm – nC1(n-1)m + nC2(n-2)m – nC3(n-3)m+…
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