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.
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.
Function
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'.
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.
It is a bijective function.
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.
I found two answers for this question. A function is a rule that assigns to each value of one variable (called the independent variable) exactly one value of another variable (called the dependent variable.) A function is a rule that assigns to each input value a unique output value.
Answer - True, answer on apex.
Function
A one-to-one or injective function.
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.
The change in the input value is equalto the change in the output value.
Without knowing the specific function or equation being used, it is impossible to determine the output value if the input value is 4. In mathematics, the output value is dependent on the specific function or equation being evaluated. To find the output value when the input value is 4, you would need to know the function or equation being used and then substitute 4 in place of the input variable to calculate the output value.
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")(;