Chapter 25

Extending the Graphing Horizon

IN THIS CHAPTER

Bullet Meeting up with intersections of lines

Bullet Circling around with circles and other conics

Bullet Plotting points on polynomials

Bullet Taking on inequalities and absolute-value graphs

Bullet Transforming basic equations

The graphs in algebra are unique because they reveal relationships that you can use to model a situation: A line can model the depreciation of the value of your boat; parabolas can model daily temperatures; and a flat, S-shaped curve can model the number of people infected with the flu. All these and other models are useful for illustrating what’s happening and predicting what can happen in the future.

In Chapter 24, you find the basic techniques necessary to either read or create the graph of a function. In this chapter, I introduce you to some of the curves that belong to conic sections (figures formed from slicing a cone in various directions). You also find specialty graphs that require shading for completion and some graphs involving ...

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