Interactive Exploration of Domain and Range
This GeoGebra book enables students to explore domain and range of a function, y = f(x). As the parameter a changes (using a slider), the corresponding point (a,f(a)) is plotted on the graph. Also, the points (a,0) and (0,f(a)) are plotted with a trace. The traces provide a visual for the domain and range and then students may express in terms of appropriate interval notation.
Table of Contents
- Functions Defined by Formulas
- Investigating the Domain and Range of Linear Functions
- Investigating Domain and Range of Quadratic Functions
- Investigating Domain and Range of Rational Functions
Investigating the Domain and Range of Linear Functions
This applet allows you to investigate domain and range of linear functions [math]f(x)=mx+b[/math]. To change the slope [math]m[/math] and y-intercept [math]b[/math], slowly drag the appropriate slider. To visualize the domain, slowly drag the "d" slider. To visualize the range, slowly drag the "r" slider. To see both domain and range simultaneously, check the box.