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Not necessarily. x to sqrt(x) is a relation, but (apart from 0) the first component in each pair corresponds to two second components eg (4, -2) and (4, +2). The square root is, nevertheless, a relation, though it is not a function.

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Q: Is a relation in which each first component in the ordered pairs corresponds to exactly one second component.?
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What is meaning of relation in math?

A relation is any set of ordered pairs.A function is a relation in which each first element corresponds to exactly one second element


It is a rectangular system picturing a relation where each point corresponds to exactly one ordered pair of real numbers?

It is the coordinate or Cartesian plane.


What part of a relation is the set of all second component from each ordered pair?

Range


Why is the order of the numbers in an ordered pair is important?

Ordered pairs are used to locate points on the graph. The first number in an ordered pair corresponds to the horizontal axis, and the second corresponds to the vertical axis.


What is a relation in math terms?

A relation is a set of ordered pairs


If a set of ordered pairs is not a relation can the set still be a function?

If a set of ordered pairs is not a relation, the set can still be a function.


In the ordered pair x y the dependent variable corresponds to?

Y-axis


What is the term use to to describe any set of ordered pairs?

A relation is defined as a set of ordered pairs. A function is a special kind of relation ...


When is function a relation?

A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.


What is the first component of the ordered pairs called?

It is the abscissa.


What is a set of ordered pairs is called?

A set of ordered pairs is a relation. Or Just simply "Coordinates"


Which of these terms defines a relation?

set of ordered pairs