Chapter 5. Bend

5.1 Tangent Lines
5.2 The Second Derivative
5.3 Bend
5.4 Five Graphs: Bend
5.5 Low Points and High Points
5.6 Taylor Polynomials

Already we have learned about two important quantities for analyzing the shape of a graph: height and slope. The bend is a third quantity that helps us go further. A line has no bend. Instead we find bend when looking at curved graphs. Nonetheless, we'll see that certain lines play an important role for understanding a graph's bend.

By learning to calculate the bend, we'll be able to classify level points. The bend is just the right tool to tell whether a level point is a low point or a high point.