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Chapter 21.4
Subtracting functions
What You'll Learn
Subtract one function from another by distributing negative signs correctly
Evaluate function differences at specific x-values using substitution
Interpret and analyze graphs to find function values at given points
Verify results by checking calculated points against graphed curves
What You'll Practice
1
Subtracting polynomial functions with multiple terms
2
Evaluating function differences at specific x-values algebraically
3
Reading coordinates from graphs to compute function subtraction
4
Sketching difference graphs by plotting key points and turning points
Why This Matters
Subtracting functions is essential for comparing rates of change, analyzing net effects in science and economics, and understanding how different mathematical relationships interact. This skill prepares you for calculus and advanced problem-solving across STEM fields.
Before You Start — Make Sure You Can:
This Unit Includes
6 Video lessons
Practice exercises
Skills
Function Operations
Function Subtraction
Polynomial Expressions
Function Evaluation
Graph Analysis
Coordinate Reading
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