yes
function
The rule is what actions (operations) the function performs. The only requirement is that for each imput there is an output and that the same input always results in the same output. (Different inputs can have the same output).
It's a type of function
Each input has only one output. The same input will always produce the same output. The function can be represented by an equation or a graph.
function
One output for each input
A function generally consists of two components: the input (or domain) and the output (or codomain). The input represents the values that are fed into the function, while the output is the result produced after applying the function to the input. Additionally, a function defines a specific relationship or rule that maps each input to a corresponding output.
A function has an input and an ouput. Each input can only have one output. Examples of functions: x = y y = x2 y = cos(x) where y is the output and x is the input.
A mapping. It need not be a function.
A Function
An overall function is a function where each input value is uniquely associated with one output value. This means that each input has one clear, defined output. Overall functions maintain clarity and consistency in their mapping between inputs and 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.