It is a bijective function.
A function is a rule which assigns exactly one output f(x) to every input x.
function
A relation is a function if every input has a distinct output.
A one-to-one function, a.k.a. an injective function.
No. If an input in a function had more than one output, that would be a mapping, but not a function.
A function is a rule which assigns exactly one output f(x) to every input x.
It assigns exactly one output value for each input value.
Answer - True, answer on apex.
A relation is not a function if it assigns the same input value to multiple output values. In other words, for a relation to be a function, each input must have exactly one output. If an input corresponds to two or more different outputs, the relation fails the vertical line test, indicating that it is not a function. For example, the relation {(1, 2), (1, 3)} is not a function because the input '1' is linked to both '2' and '3'.
This is true. Furthermore, functions can be broken down into one-to-one (each input provides a different output), and onto (all of Y is used when f(x) = y).
No, not every relation is a function. In order for a relation to be a function, each input value must map to exactly one output value. If any input value maps to multiple output values, the relation is not a function.
It's a type of function
The relationship where each input value results in exactly one output value is known as a function. In mathematical terms, a function assigns a unique output to each member of its domain, ensuring that no input corresponds to more than one output. This characteristic distinguishes functions from other types of relations, where an input could potentially map to multiple outputs.
That's a proper function, a conformal mapping, etc.
Is called "function".
A one-to-one or injective function.
function