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.
Know MoreThere 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 in AlgebraLinear function word problems are presented when a question is asked that requires students to figure out the linear function of a problem through words. These problems can be figured out more easily when they are translated from words to actual equations.
Full Answer >To find the zeros of a function, all parts of the function must be factored into binomials. A zero is the point at which a function crosses the x-axis.
Full Answer >A polynomial function is a mathematical function that consists of one or more variables to which multiple exponents and coefficients are applied. Each combination of variables, exponent and coefficient is called a term. A polynomial does not contain any negative exponents, radical variables or division of any kind, including fractions.
Full Answer >A rational expression is a fraction. As with all fractions, the denominator of the expression cannot be equal to zero. The domain of an expression is all of the possible values for x. Finding all the values for x that equal zero shows which x values are restricted and cannot be part of the domain.
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