function
function
In a mathematical function, each input is associated with exactly one output. This means that for every specific input value, there can only be one corresponding output value. If an input were to produce multiple outputs, it would no longer qualify as a function.
The relationship that assigns exactly one output for each input value is called a "function." In mathematical terms, for a relation to be classified as a function, every input from the domain must correspond to exactly one output in the codomain. This ensures that there are no ambiguities regarding the output for any given input. Functions are often represented as f(x), where x is the input.
A function is a rule which assigns exactly one output f(x) to every input x.
A Function
For a relationship to be considered a function, each input value must correspond to exactly one output value. This means that each input cannot have multiple outputs.
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.
It's a type of function
Function
A set of input and output values where each input value has one or more corresponding output values is called a "relation." In mathematical terms, it describes how each element from a set of inputs (domain) relates to elements in a set of outputs (codomain). Unlike a function, where each input has exactly one output, a relation can have multiple outputs for a single input.
a function is just a rule which takes certain values as input values and asign to each input value exactly one output value (you must be wondering what the "F" is in input or an output value? Well, they are just a fancy name for "variables")(;
It assigns exactly one output value for each input value.