It is a injective relationship. However, it need not be surjective and so will not be bijective. It will, therefore, not define an invertible function.
It assigns exactly one output value for each input value.
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.
A Function
There need not be any relationship.
A rule that assigns each value of the independent variable corresponds to a function. In mathematical terms, a function takes an input (the independent variable) and produces a unique output (the dependent variable). This relationship ensures that for every input, there is a single, defined output, which is crucial for analyzing and understanding mathematical and real-world scenarios. Functions can be represented in various forms, such as equations, graphs, or tables.
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.
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.
It is a bijective function.
It is a mapping which assigns one or more outputs to each set of one or more inputs. A relationship need not be a function.
A Function
The relationship is called a surjection or a surjective function.
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).
A function is any relationship between inputs and outputs in which each input leads to exactly one output. It is possible for a function to have more than one input that yields the same output.
Answer - True, answer on apex.
There need not be any relationship.