This page will help you construct solutions to rational functions. You will need to edit (redefine) the numerator function and the denominator function by following the on-screen instructions. This applet will illustrate the division of two functions, D(x) anf N(x). N(x) will graph in green, and D(x) will graph in red. The quotient of the functions is called f(x); it will display in blue. By clicking on the appropriate checkbox, you will be able to display each graph separately or together.
Please do not try to redefine f(x) as this is a dependent equation. This means that f(x) = N(x)/D(x) is predefined. Changing N(x) and D(x) will change the function. This applet can be used by teachers in a demonstration mode in the classroom or teachers can have students load it on their own computers with a worksheet to be complete for a grade. See these functions for similar activities... 1. [url=http://www.geogebratube.org/material/show/id/57693]Adding Functions[/url] h(x) = f(x) + g(x) 2. [url=http://www.geogebratube.org/material/show/id/57694]Subtracting Functions[/url] h(x) = f(x) - g(x) 3. [url=http://www.geogebratube.org/material/show/id/57697]Multiplying Functions[/url] h(x) = f(x) g(x) 4. [url=http://www.geogebratube.org/material/show/id/57698]Dividing Functions[/url] h(x) = f(x) / g(x) 5. [url=http://www.geogebratube.org/material/show/id/57699]Composition of Functions[/url]: h(x) = f( g(x) ) 6. [url=http://www.geogebratube.org/student/m58005]Solving Rational Functions[/url]: f(x) = N(x)/D(x)