Introduction

Graphs:

• Understanding,
• Summarizing data,
• Representing data,
• Interpolating data,
• ...

Need maxima and minima (y'=0, relative or absolute), inflection points (y''=0), vertical asymptotes ( finite), horizontal asymptotes ( finite), oblique asymptotes (), behavior at infinity (), intercepts (x or y=0), singular points (corners, cusps, crossings, infinite curvature, ...), concavity (upward if y''>0), symmetry or anti-symmetry around x, y, or general oblique axes, ...) See page 133 in the 4th edition of Ayres.

If you can, draw the curve first, then fill in the details.