The Versatility of Rational Functions - Essay Example

The Versatility of Rational Functions Second-order/third-order (e.g., x2/x3) rational functions have following form Third-order/second-order (e.g., x3 /x2) rational functions have following formLet us choose a second-order/third-order (e.g., x2/x3) rational function as given below:The three variations are:1. 2. 3. Above figure shows the graph of second-order/third-order (e.g., x2/x3) rational function with three variations. All the graphs are similar for x values in the range from -10 through +10 and changes in coefficients and constants does not changes the behavior of the second-order/third-order (e.g., x2/x3) rational function.

Let us choose a third-order/second-order (e.g., x3/x2) rational function as given below:The three variations are:1. 2. 3. Above figure shows the graph of third-order/second-order (e.g., x3/x2) rational function with three variations. Here, in this case, not all the graphs are similar for x values in the range from -10 through +10 and changes in coefficients and constants changes the behavior of the third-order/second-order (e.g., x3 /x2) rational function.One thing is important for both types of rational functions is that for x values of denominator function (denominator function equal to 0) the graph will be not continuous because there will be case of division by zero.

References:Rational Functions, retrieved on March 23, 2008 from, http://oregonstate.edu/instruct/mth251/cq/FieldGuide/rational/lesson.htmlRational Functions, retrieved on March 23, 2008 from, http://www.analyzemath.com/rational/rational1.htmlRational Functions, retrieved on March 23, 2008 from, http://id.mind.net/~zona/mmts/functionInstitute/rationalFunctions/rationalFunctions.html