Manitoba
1. Demonstrate an understanding of the absolute value of real numbers
1.1 Absolute value functions
Chapter 1.1
Absolute value functions
What You'll Learn
Define absolute value as the distance between a number and zero on a number line
Evaluate absolute value expressions with positive, negative, and zero values
Express absolute value functions as piecewise functions using domain conditions
Determine breaking points by solving when the inside expression equals zero
Apply sign rules to convert negative outputs to positive using absolute value
What You'll Practice
1
Evaluating absolute values of integers, negatives, and nested expressions
2
Converting absolute value of linear expressions into two-piece piecewise functions
3
Converting absolute value of quadratic expressions into three-piece piecewise functions
4
Using test values to determine signs across different domain regions
Why This Matters
Absolute value functions are essential for modeling real-world situations involving distance, magnitude, and error. You'll use them in physics, engineering, and economics, and they're foundational for calculus concepts like limits and continuity.
Before You Start — Make Sure You Can:
This Unit Includes
4 Video lessons
Practice exercises
Skills
Absolute Value
Piecewise Functions
Number Line
Domain Analysis
Quadratic Expressions
Sign Rules
Function Notation
MB Curriculum Aligned
