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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 not assign more than one output value to one of its input values?
false
A relation may assign more than one output value to one of its input values?
True
What is a mathematical relationship in which each input corresponds to exactly one output?
A Function
A relation with exactly one output for each input?
It's a type of 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.
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.
The production output in relation to a unit of input?
Productivity
A rule that establishes a relationship between input and output?
Relation
