Domain And Range In Discrete Mathematics

Does every function have a domain.

Domain and range in discrete mathematics.

Discrete math question about surjective injective function and domain range hot network questions maximum number of knights populating a chess board so that no knights are attacking one another. Endgroup hmakholm left over monica nov 14 13 at 19 58. If someone could explain this question in detail so i can do some revision on it i d be grateful. In the relation above the domain is 2 4 11 21 the range is is 5 31 11 3.

Yes but in simpler mathematics we never notice this because the domain is assumed. Domain range and codomain. All numbers from 1 to 5 2 1 0123456 sometimes the set of points that represent the solutions of an equation are. Integers from 1 to 5 2 1 0123456 a continuous domain is a set of input values that consists of all numbers in an interval.

A discrete domain can have a finite set of values that will work for the x. The above list of points being a relationship between certain x s and certain y s is a relation. As such they are described by sets of ordered pairs x y the domain and range of these functions are described in brackets with each individual value listed. Even though they are represented differently the above are the same function and the domain of the function is x 2 3 5 6 8 and the range is y 4 8 2 9 3 this is how you can defined the domain and range for discrete functions.

Domain describes all the independent values in a function. Usually it is assumed to be something like all numbers that will work. Discrete and continuous domains a discrete domain is a set of input values that consists of only certain numbers in an interval. The domain of a function is all the possible input values for which the function is defined and the range is all possible output values.

If you are still confused you might consider posting your question on our message board or reading another website s lesson on domain and range to get another point of view. The example given earlier in the lesson about the amount of rain each month is this kind of discrete domain. Such as computability theory though perhaps not in the introductory discrete math courses. Relations are often represented using arrow charts connecting the domain and range elements.

Range describes all the dependent values in a function. Discrete functions are derived from sets of data which have gaps in them.