Introduction
Absolute Value Functions text version | Open Absolute Value Functions in a new tab
Following successful completion of this lesson, students will be able to...
- Graph functions expressed symbolically, and show key features of the graph, by hand in simple cases.Graph piecewise-defined functions, including absolute value functions.
- Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
- Compare properties of two functions each represented in a different way (algebraically, graphically, or by verbal descriptions).
- Identify the effect on the graph of replacing f(x) by f(x) + k, and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs.
Enduring Understandings
- Operations create relationships between numbers.
- The language of mathematics is communicated through specialized vocabulary and symbols used to represent and describe mathematical ideas, generalizations, and relationships.
- By describing patterns using mathematics, we can make predictions and generalizations, analyze situations in everyday life, and sort and classify things.
The above objectives correspond with the Alabama Course of Study: Algebra II with Statistics standards: 15, 16, 20, and 20a..