Skip to main content

\( \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \)

Precalculus: An Active Reading ApproachElementary Functions

Jack Green, Nick Chura

IndexPrev Up Next

Front Matter

Colophon
Acknowledgements
To All
To the Student
To the Instructor

1 Functions: Definition and Notation

Function Notation (Input, Output)
Describing Function Behavior
Average Rate of Change
Projects: Functions and Notation
Gist of Functions: Definition and Notation

2 Domain, Range and Piecewise Defined Functions

Domain and Range Activity
Piecewise Defined Functions Activity
Gist of Domain, Range and Piecewise Defined Functions

3 Exponential Functions

Introduction to Exponential Functions
Compounding in Finance, Continous Compounding and the Number \(e\)
Review Percent Change
Gist of Exponential Functions

4 Logarithmic Functions

Logarithmic Functions
Gist of Logarithmic Functions

5 Vertical and Horizontal Translations

Vertical and Horizontal Translations Activity
Gist of Vertical and Horizontal Translations

6 Reflections and Vertical Stretches

Reflections
Vertical Stretches
Gist of Reflections and Vertical Stretches

7 Composition of Functions and Inverses of Functions

Composition
Inverse of a Function
Gist of Composition and Inverses of Functions

8 Combinations of Functions

Combinations of Functions
Gist of Combinations of Functions

9 Power Functions and Polynomials

Power Functions
Polynomials
Rational Functions
Gist of Power Functions and Polynomials

10 Periodic Functions

Periodic Functions
Transformations
Gist of Periodic Functions

Reference

Index

Authored in PreTeXt

Chapter 8 Combinations of Functions

Objectives Student Learning Outcomes

Define combinations of functions and apply and interpret these in appropriate situations.

8.1 Combinations of Functions
8.2 Gist of Combinations of Functions