A relation is a set of numbers that have a relationship through the use of a domain and a range, while a function is a relation that has a specific set of numbers that causes there to be only be one range of numbers for each domain of numbers. All functions are relations, but all relations are not functions.
Continue ReadingThere are numbers that are related to each other in every relation. There could be a large variety of numbers in the domain for a given range. For example, if x is equal to 23, then y could be equal to 46 or 11.5, depending on the factors that are being played into the domain.
In a function, the numbers will always be able to relate back to a single number out of the range of numbers. It can be concluded that if x equals 13, then y will always equal 26. There may be many numbers in a domain that lead to the same range in a function, but there will never be more numbers in a range than a domain. If the number of x changes to 14, then y will change to 28. Many mathematicians use the term "well behaved" for numbers that are part of a function.
Learn more about AlgebraIn math, a relation describes how elements from one set, A, are related to elements of a second set, B, in terms of ordered pairs (x,y). For example, in a set of ordered pairs, the x-values can be the elements from set A and make up the domain. The y-values can be the elements from set B and form the range.
Full Answer >The domain of a function is all of the x values of the function without any repetition. A vertical line has only one x value as its domain, while a horizontal line has a domain of all x values.
Full Answer >The domain for a function is all of the acceptable values for x where the y value is both a real and a defined number. All values of x are acceptable for a quadratic equation, and therefore the domain is all real numbers.
Full Answer >The domain of logarithmic functions can be found by finding all of the numbers that do not make the value of y imaginary. The domain of the function can be deducted by taking out all of the numbers that work to make the y function an imaginary one.
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