Chapter 25.2
Operations with functions
What You'll Learn
Add two functions by combining their outputs at each input value
Subtract functions by finding the difference between their outputs point by point
Multiply functions by taking the product of their values at corresponding points
Divide functions and identify when division is undefined due to zero denominators
Represent combined functions graphically using coordinate points
What You'll Practice
1
Adding function values from tables and graphs at specific points
2
Subtracting function outputs to find differences between two functions
3
Multiplying function values and plotting the resulting products
4
Dividing functions while identifying undefined points where division by zero occurs
Why This Matters
Operations with functions are essential for modeling real-world situations where multiple quantities interact, like combining profits, comparing rates, or analyzing compound relationships. You'll use these skills throughout algebra, precalculus, and calculus when working with complex mathematical models.
Before You Start — Make Sure You Can:
This Unit Includes
1 Video lesson
Skills
Function Operations
Addition of Functions
Subtraction of Functions
Multiplication of Functions
Division of Functions
Graphing Functions
Domain Restrictions
Undefined Values
