Chapter 17.3
Adding functions
What You'll Learn
Understand the notation (f + g)(x) as f(x) + g(x)
Add polynomial functions by combining like terms
Evaluate the sum of two functions at specific input values
Add functions graphically by summing y-values at key x-coordinates
Verify addition results by checking multiple points on a graph
What You'll Practice
1
Adding polynomial expressions with multiple variable terms
2
Evaluating function sums at given x-values using substitution
3
Graphing the sum of two functions using important points
4
Simplifying expressions involving function addition and scalar multiplication
Why This Matters
Adding functions is essential for modeling combined real-world quantities like total profit, combined forces, or mixed costs. You'll use this skill throughout algebra, precalculus, and calculus when working with complex systems that involve multiple changing quantities.
Before You Start — Make Sure You Can:
This Unit Includes
6 Video lessons
Practice exercises
Skills
Function Addition
Function Notation
Polynomials
Like Terms
Function Evaluation
Graphing Functions
Algebraic Simplification
