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Chapter 7.1
Evaluating piecewise functions
What You'll Learn
Identify which sub-function to use based on domain intervals
Evaluate piecewise functions by substituting x-values into the correct piece
Interpret domain restrictions using inequality notation and interval notation
Determine outputs when x-values fall on boundary points of domains
What You'll Practice
1
Evaluating piecewise functions with two or three sub-functions
2
Working with domains defined by inequalities and interval notation
3
Handling boundary values and equal signs in domain conditions
4
Calculating outputs using various function types including polynomials and radicals
Why This Matters
Piecewise functions appear throughout calculus, economics, and real-world applications like tax brackets and shipping rates. Mastering how to evaluate them builds your ability to work with functions that change behavior based on different conditions.
Before You Start — Make Sure You Can:
This Unit Includes
16 Video lessons
Skills
Piecewise Functions
Domain
Function Evaluation
Interval Notation
Inequalities
Sub-functions
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