Activity Overview
Worksheet designed to help students explore the absolute value function focusing specifically on notation such as f(|x|) and |f(x)|.
Objectives
Students need to be able to quickly identify how the absolute value function has transformed a function and also the reverse, identify the way the absolute function has been used given a transformed graph.
Vocabulary
- Absolute Value
- Transformation
- Reflection: x-axis
- Reflection: y-axis
About the Lesson
Students are provided with a number of functions that help illustrate the geometric transformations associated with the absolute value function. Particular focus is drawn to notation such as f(|x|) and |f(x)|. Students can see the original function and the resulting absolute value function making it easier to draw comparisons.