Learning Objectives In this section, you will: The revenue in millions of dollars for a fictional cable company from 2006 through 2013 is shown in Table 1. Year 2006 2007 2008 2009 2010 2011 2012 2013 Revenues 52.4 52.8 51.2 49.5…
Learning Objectives In this section, you will: Figure 1 (credit: Jason Bay, Flickr) Suppose a certain species of bird thrives on a small island. Its population over the last few years is shown in Table 1. Year 20092009 20102010 20112011 20122012 20132013 Bird…
Learning Objectives In this section, you will: Figure 1 An array of satellite dishes. (credit: Matthew Colvin de Valle, Flickr) Curved antennas, such as the ones shown in Figure 1, are commonly used to focus microwaves and radio waves to transmit television and…
Whether they think about it in mathematical terms or not, scuba divers must consider the impact of functional relationships in order to remain safe. The gas laws, which are a series of relations and equations that describe the behavior of…
Linear Functions Modeling with Linear Functions Fitting Linear Models to Data
Learning Objectives In this section, you will: A professor is attempting to identify trends among final exam scores. His class has a mixture of students, so he wonders if there is any relationship between age and final exam scores. One…
Learning Objectives In this section, you will: Figure 1 (credit: EEK Photography/Flickr) Elan is a college student who plans to spend a summer in Seattle. Elan has saved $3,500 for their trip and anticipates spending $400 each week on rent, food, and…
Learning Objectives In this section, you will: Figure 1 Shanghai MagLev Train (credit: “kanegen”/Flickr) Just as with the growth of a bamboo plant, there are many situations that involve constant change over time. Consider, for example, the first commercial maglev train in…
A bamboo forest in China (credit: “JFXie”/Flickr) Chapter Outline 4.1 Linear Functions 4.2 Modeling with Linear Functions 4.3 Fitting Linear Models to Data Imagine placing a plant in the ground one day and finding that it has doubled its height just a few…
Functions and Function Notation Domain and Range Rates of Change and Behavior of Graphs Composition of Functions Transformation of Functions Absolute Value Functions Inverse Functions