Mathematics - PearsonAccess.com

Objective 1To use function notation to describe a function, give the function aname, typically a letter such as f, g, or h. Then use an algebraicexpression to describe the y-coordinate of an ordered pair.Suppose f(x) 1 x 5.4● This function is read as “f of x equals 1 times x plus 5.”4● If you input x, the output will be 1 x 5.4● The y-coordinate of any ordered pair for this function is 1 x 5.4The function described by f(x) 1 x 5 is the same as the function4described by y 1 x 5. Therefore, any ordered pair4Dofor this function can be represented by (x, 1 x 5).4you seethat . . .Here are three methods you can use to determine whether two differentrepresentations of a function are equivalent.MethodMatch a list or table of orderedpairs to a graph.Match an equation to a graph.Match a verbal description toa graph, an equation, or anexpression written in functionnotation.Action● Show that each ordered pairlisted matches a point on thegraph.● Determine whether they areboth linear or quadraticfunctions.● Find points on the graph andshow that their coordinatessatisfy the equation.● Find points that satisfy theequation and show that theyare on the graph.● Use the verbal description tofind ordered pairs belongingto the function and then showthat they satisfy the graph,equation, or function rule.● Find points on the graph orordered pairs satisfying theequation or rule and showthat they satisfy the verbaldescription.15