Algebraic Function | algebraic function
Onewayofidentifyinganalgebraicfunctionisthroughtheuseofatable,whichcanshowusifthereisonedomainandonerange.Sometimesfunctionsaddtothedomaintogettherange,likex+2.Sometimesfunctionsmultiplythedomaintogettherange,like3x.Functionsmayalsosubtractordividethedomainoruseacombinationofoperationstoproducetherange.Aslongastheruleofonein/oneoutiskeptinplace,thefunctionexists.Ifanalgebraicfunctionsaystoaddtwotothedomain,wecancreateatabletoshowthefunction:Asyoucansee,foreverydomain,wehaveonerange.Thesepair...
One way of identifying an algebraic function is through the use of a table, which can show us if there is one domain and one range. Sometimes functions add to the domain to get the range, like x + 2. Sometimes functions multiply the domain to get the range, like 3x. Functions may also subtract or divide the domain or use a combination of operations to produce the range. As long as the rule of one in/one out is kept in place, the function exists.
If an algebraic function says to add two to the domain, we can create a table to show the function:
As you can see, for every domain, we have one range. These pairs of x values- and y-values are called ordered pairs because we put them in order (x,y).
We can also turn our table into ordered pairs to show a function: (1,3), (4,6), (-2,0) and (-3,-1) where there is one x-value for every one y-value.