A relation where each input has precisely one output was described as a function. Each input is mapped to a single output value, in other words. Every input value is translated into a single distinct output value in a one-to-one function. Another way to phrase it is that no two input items produce the same output value.
The function f(x)=x +2 is depicted in the graph above. This graph does not map the same x-value to the same y-value everywhere, indicating that it is a one-to-one function.
Here are some additional one-to-one functions:
Because no 2 input values have the same cube root and thus do not produce the same outputs, X³+1 is a one-to-one function.
Because different inputs might result in the same outputs, X² is not a function. Consider the numbers -1 and 1. These two values both produce the value 1, indicating that this equation is not one-to-one.
To learn more about Set functions, use the link below.
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