# Math 106 Chapter 2

**Nearly all these topics can also be found by searching at: https://www.khanacademy.org/math.

0.4 The Quadratic Formula and Factoring

• What is the quadratic formula? How is it used to solve quadratic equations?
• How can factoring be used to solve quadratic equations?

2.1 Describing Graphs of Functions

• What does it mean for a function to be increasing or decreasing?
• What are relative minimum and relative maximum points?
• What are absolute minimum and absolute maximum points?
• What does it mean for a graph to be concave up or concave down? What is an inflection point?
• What are the x- and y-intercepts of the graph of a function?

2.2 The First- and Second-Derivative Rules

• What does the first derivative reveal about the graph of a function? What does the second derivative reveal about the graph of a function?

2.3 The First- and Second-Derivative Tests and Curve Sketching

• How are the first and second derivatives used to sketch the graph of a function?

0.6 Functions and Graphs in Applications

• Examples will be covered in class.

2.5 Optimization Problems

• What is the general strategy for solving optimization problems?