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Is a function a relation that assigns only one output value to each of its input values?

Answer - True, answer on apex.


The set of output values of a function or relation?

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


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.


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 is a relation not a 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'.


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 do you call the set of output values of a function or relation?

The co-domain or range.


The output of a function or relation The set of y-values that a graph is defined on?

Range


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.


if a given value yields three output values that relationship can be best described a function?

No, it is described as a relation.


What is a mapping or pairing of input values with output values?

A relation is a mapping or pairing of input values with output values.


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.