Math, asked by graceee13, 7 months ago

A relation is a set of ordered pairs where the first element is called the range while the second is the domain.

ps. please analyze asap huhu thankyou

Answers

Answered by DhanurRelhan
183

A relation is a set of ordered pairs where the first element is called the DOMAIN while the second is the RANGE.

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IN STANDARD WE TAKE IT AS ——>

DOMAIN » X VALUES «» INPUT

RANGE —» Y VALUES «——» OUTPUT

HOPE IT HELPS

Answered by AadilPradhan
23

A relation is a set of ordered pairs where the first element is called the range while the second is the domain. This is a false statement.

  • A group of ordered pairs is referred to as a relation. The domain is indeed the set of the first components in each ordered pair, and the range would be the set containing second components in each ordered pair. Consider taking a look at the following list of ordered pairs. Each pair's first numbers are the first 5 natural numbers. Each pair's second number is double that as the first.
  • {(1,2),(2,4),(3,6),(4,8),(5,10)}

       In this the domain will be{1,2,3,4,5} and the range will be {2,4,6,8,10}.

  • Every value there in the domain is so often referred as an input value, as well as independent variable, and is frequently denoted by the small letter x. Every value there in range is also termed as that of an output value, as well as dependent variable, and is usually denoted by the letter y in lowercase. A function f is a relation wherein every variable in the domain is assigned a single value from the range. To put it another way, no x-values were duplicated.
  • Since every component in the domain, {1,2,3,4,5,} is coupled with precisely one component in the range, {2,4,6,8,10,} the illustration that connects the first 5 natural numbers to numerals double their values is a function.
  • Let's have a look at the group of ordered pairs which connects the labels "even" and "odd" to the first 5 natural numbers.
  • It appears to be (even,2), (odd,3), (even,4), and (odd,5). This should be highlighted that each component in the domain, even, odd, is not coupled with exactly one component in the range, 1,2,3,4,5. For example, the phrase "odd" refers to three domain values of 1,3,5, whereas the term "even" corresponds to two range values of 2,4. Because this works to against notion of a function, this relationship isn't one.

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