This is a simple, straight-forward applet that allows students to find the domain and range of a function given its graph.
Type of Material:
This applet can be used for classroom instruction and additional practice for the students.
Identify Major Learning Goals:
The user will be able to find the domain and range of a graphed function.
After using the applet, the user should be able to answer the following questions: 1. How do you find the domain of a function from its graph? 2. How do you find the range of a function from its graph? 3. What could cause a hole in the domain and range?
Target Student Population:
High School Algebra II students and College Algebra students
Prerequisite Knowledge or Skills:
Definition of domain, range, horizontal asymptote, and vertical asymptote.
When students incorrectly give an endpoint of the domain or range, poignant messages are given to direct the student to the correct value. For example, when naming the endpoints of range, if the user gives an endpoint of the domain (as many students do) they are made aware of the mistake and directed to look at the range values, not the domain.
Potential Effectiveness as a Teaching Tool
In addition to seeing the interval notation of the domain and range, students are able to visually tie the interval of the values of the domain and range on a number line with the graphed function.
If there is a hole in the domain or range, the user is always directed to specify the hole. However, if there is not a hole, the user is not asked. The user is never responsible for deciding if there is a hole or not.
Ease of Use for Both Students and Faculty
Very easy to use.
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