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The set of output values of a function or relation?

The set of output values of a function or relation is the range


How do you determine if a relation is a function?

A relation is a function if every input has a distinct output.


What is the difference between function and a relation?

Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.


What is an example of a relation that is not a function?

An example of a relation that is not a function is the relation defined by the set of points {(1, 2), (1, 3), (2, 4), (3, 5)}. In this relation, the input value 1 corresponds to two different output values (2 and 3), violating the definition of a function, which states that each input must have exactly one output. Therefore, since one input maps to multiple outputs, this relation is not a function.


What is the set of all possible output values of a function or relation?

The Range is the set of all possible output values of a function or relation.


Is every relation a 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.


What is The relation is the set of output values for the relation?

A relation doesn't have an "output value", in the sense that a function does. A set of values is either part of the relation, or it isn't.


How do you define function and relation?

A relation has pairs of numbers. A function is a special relation where for each input there is one and only one output.


A relation with exactly one output for each input?

It's a type of function


A production function describes the relation between output and?

cost or input


Why would removing this ordered pair make the relation a function?

Removing the ordered pair would ensure that each input (or "x" value) in the relation corresponds to exactly one output (or "y" value). A function is defined as a relation where no two ordered pairs have the same first component with different second components. Therefore, eliminating the pair that violates this condition would make the relation a valid function.


Why the graph of a function never has 2 different points with the same x- coordinate because?

It is because a function is defined as a relation which cannot be one-to-many.