# Math 106 Chapter 1

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

0.1 Functions and Their Graphs

• What is the definition of a function? What does it mean to evaluate a function?
• What is interval notation? How does it relate to inequality notation?
• What is the domain of a function? What two types of functions have constraints on the domain?

0.5 Exponents

• What are the laws of exponents?

1.1 The Slope of a Straight Line

• What are the three forms of linear equations?
• What is the slope formula?

1.2 The Slope of a Curve at a Point

• What line is used to find the slope of a curve at a point?

1.3 The Derivative and Limits

• How does the derivative relate to the slope of the tangent line to the curve?
• What is the Power Rule for derivatives?
• What is the process for finding the equation of a tangent line to a curve?

1.6 Some Rules for Differentiation

• Derivatives with respect to a specific variable will be covered in class.
• What is the second derivative of a function? How is it found?
• Be familiar with the various notations for the derivative.
• Derivative as a rate of change will be covered in class.
• How are the cost, revenue, and profit functions related? How are marginal cost/revenue/profit functions found? What does marginal cost/revenue/profit represent?

1.8 The Derivative as a Rate of Change

• What is the average rate of change? How is it calculated? What is the instantaneous rate of change? How is it calculated?
• How is velocity related to position? How is acceleration related to velocity? How are derivatives used to find the velocity and acceleration functions?
• Units for rates of change will be covered in class.