Chapter 4: Linear Functions

A bamboo forest in China (credit: “JFXie”/Flickr)

Chapter Outline

4.1 Linear Functions

4.2 Modeling with Linear Functions

Imagine placing a plant in the ground one day and finding that it has doubled its height just a few days later. Although it may seem incredible, this can happen with certain types of bamboo species. These members of the grass family are the fastest-growing plants in the world. One species of bamboo has been observed to grow nearly 1.5 inches every hour.[1] In a twenty-four hour period, this bamboo plant grows about 36 inches, or an incredible 3 feet! A constant rate of change, such as the growth cycle of this bamboo plant, is a linear function.

Recall from Functions and Function Notation that a function is a relation that assigns to every element in the domain exactly one element in the range. Linear functions are a specific type of function that can be used to model many real-world applications, such as plant growth over time. In this chapter, we will explore linear functions, their graphs, and how to relate them to data.


  1. https://www.guinnessworldrecords.com/world-records/fastest-growing-plant

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CCA College Algebra Copyright © by Alexandre Probst; Collier Gaiser; Jason Ray; Radha Basker; and Shari Holder is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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