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What else can I help you with?
A relation in which each element of the input is paired with exactly the one element of the output according to a specific rule?
Is called "function".
Differentiate a relation to a function?
A function is a special type of relation. So first let's see what a relation is. A relation is a diagram, equation, or list that defines a specific relationship between groups of elements. Now a function is a relation whose every input corresponds with a single output.
True or false a function is a relation that assigns each input exactly one output?
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 relation may assign more than one output value to one of its input values?
True
A relation may not assign more than one output value to one of its input values?
false
What is a mathematical relationship in which each input corresponds to exactly one output?
A Function
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.
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.
A relation with exactly one output for each input?
It's a type of function
Is ordered pairs a relation or function?
An ordered pair can represent either a relation or a function, depending on its properties. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (first element of the pair) is associated with exactly one output (second element of the pair). If an ordered pair is part of a set where each input corresponds to only one output, it defines a function. Otherwise, it is just a relation.
What is the relation that assigns exactly one output value to one input value?
It is a bijective function.
What is a relation with the property that for each input there is exactly one output?
That's a proper function, a conformal mapping, etc.
A relation in which each element of the input is paired with exactly the one element of the output according to a specific rule?
Is called "function".
What is an input-output relationship that has exactly one output for each input?
function
Differentiate a relation to a function?
A function is a special type of relation. So first let's see what a relation is. A relation is a diagram, equation, or list that defines a specific relationship between groups of elements. Now a function is a relation whose every input corresponds with a single output.
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.
How do you determine if a relation is a function?
A relation is a function if every input has a distinct output.
