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A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.
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BeauIn mathematics, a mere relation is a binary relation that is reflexive, symmetric, and transitive. This means that for any element a in a set, the relation must hold between a and itself (reflexive), if the relation holds between a and b, it must also hold between b and a (symmetric), and if the relation holds between a and b, and between b and c, it must also hold between a and c (transitive). Mere relations are fundamental in various mathematical structures and theories, such as equivalence relations and partial orders.
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How do you identify if an equation is function or mere relation?
you will know if it is Function because if you see unlike abscissa in an equation or ordered pair, and you will determine if it is a mere relation because the the equation or ordered pairs has the same abscissa. example of function: {(-1.5) (0,5) (1,5) (2,5)} you will see all the ordinates are the same but the abscissa are obviously unlike example of mere relation: {(3,2) (3,3) (3,4) (3,5)} you will see that the ordinates aren't the same but the abscissa are obviously the same. Try to graph it.!
Why does X represent unknown?
Mere convention, my dear friend, mere convention.
What is the domain of the inverse of a relation?
The domain of the inverse of a relation is the range of the relation. Similarly, the range of the inverse of a relation is the domain of the relation.
What is the Difference between relation schema and relation instance?
difference between relation sehema and relation instance in dbms
Can you have a function that is not a relation?
No, a function must be a relation although a relation need not be a functions.
