Nova Scotia
7. Model real-world problems using functions, equations, inequalities and discrete structures
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Overview
Graphing piecewise linear functions
What You'll Learn
Identify and sketch each sub-function of a piecewise linear function using domain restrictions
Determine domain and range of piecewise functions from graphs using interval and set notation
Recognize when to use solid dots versus hollow circles based on inequality symbols
Convert absolute value functions into piecewise form by reflecting negative portions
Write piecewise functions from graphs by finding equations and domains for each segment
What You'll Practice
1
Graphing piecewise functions with two or three sub-functions and correct endpoint notation
2
Finding domain and range from piecewise function graphs
3
Writing piecewise function equations from given V-shaped and segmented graphs
4
Converting absolute value functions to piecewise notation with proper domains
Why This Matters
Graphing piecewise functions is essential for modeling real-world situations that change behavior at specific points, like tax brackets, shipping rates, or parking fees. You'll use these skills in calculus, economics, and engineering to analyze functions with different rules over different intervals.
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This Unit Includes
12 Video lessons
Skills
Piecewise Functions
Graphing
Domain and Range
Absolute Value
Linear Functions
Function Notation
Interval Notation
NS Curriculum Aligned