yes
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 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.
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 table organizing the input rule and the output of a function is often referred to as a function table or a mapping table. It displays pairs of input values alongside their corresponding output values, illustrating how the function transforms each input. This visual representation helps in understanding the relationship between inputs and outputs, making it easier to analyze the function's behavior. Each row typically consists of an input, the rule applied, and the resulting output.
function
One output for each input
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.
In a mapping diagram, each arrow corresponds to a relationship between two sets, typically representing a function. The arrows indicate how each element from the domain (input set) is related to an element in the codomain (output set). Each input can point to one output, illustrating the concept of a function where each input has a unique output.
A mapping. It need not be a function.