Abstract

This chapter discusses the concepts of functions and graphs. The concept of a function has been developed as a means of organizing and assisting in the study of relationships. If one thinks of the x-axis as a real number line, one may mark off some convenient unit of length, with positive numbers to the right of the origin and negative numbers to the left of the origin. Similarly, one may think of the y-axis as a real number line. The x and y axes are called coordinate axes and together they constitute a rectangular or Cartesian coordinate system. The coordinate axes divide the plane into four quadrants. The chapter discusses the graphs of functions. The information available at a glance from a graph is so impressive that it is vital for a student planning to study advanced mathematics to be familiar with techniques for quickly sketching the graphs of those functions that occur most frequently.

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