Chapter 25.5
Multiplying functions
What You'll Learn
Recognize that placing two functions next to each other means multiplication
Multiply two functions by expanding and simplifying the product of their expressions
Evaluate the product of functions at specific x-values using two different methods
Analyze the shape of product graphs by examining the nature of each function
Determine whether the product of functions produces linear, quadratic, or constant results
What You'll Practice
1
Expanding products of functions involving radicals and polynomials
2
Evaluating function products at specific values using direct substitution
3
Graphing products of piecewise functions using table values
4
Identifying curves vs. straight lines in product graphs
Why This Matters
Multiplying functions is essential for modeling complex real-world scenarios where multiple relationships interact. You'll use this skill throughout calculus when working with derivatives and integrals, and it's crucial for understanding composite systems in physics, economics, and engineering.
This Unit Includes
3 Video lessons
Practice exercises
Skills
Function Multiplication
Function Notation
Expanding Expressions
Radicals
Graphing Functions
Piecewise Functions
Quadratic Functions
