I have gathered quizzes that relate directly to the upcoming midterm, as well as included a sample midterm. Please feel free to use these for practice! If you have trouble with the material, visit this page for additional resources. Don’t forget to grab a free version of wolfram alpha pro to help you if you’re enrolled at San Francisco State University!

Topics Covered:

• 2.4: Polynomials
  • Vertex of a parabola
  • Determine the behavior of a polynomial near or
• 2.5: Rational Functions
  • Determine the behavior of rational functions near to
  • Determine the vertical and horizontal asymptotes of a rational function
  • Determine the holes of a rational function, if they exist.
• 3.1: Exponential and Logarithmic Functions
  • Their definitions as inverses
  • Practice using #23 – #32 in Precalculus – Prelude to Calculus, 3rd Ed. 
• 3.2: Power Rule
  • Change of Base
• 3.3: Product and Quotient Rule
  • Read p.249-p.252 for applications in scientific settings
• 3.4: Exponential Growth
  • Compound Interest (n times per year)
• 3.5: e and the Natural Logarithm
  • Understanding the definition of e will enhance your understanding of proofs later on. For now, we know it’s a real number that is approximately equal to 2.71, and it’s associated with Continuous growth!
• 3.7: Exponential Growth Revisited
  • Read p.304-p.306 for an application of the approximation methods discussed in 3.6 used in financial estimations.
  • Focus on Continuous Compound Interest
• 4.1: Unit Circle
• 4.2: Radians
  • Make sure you can convert between degrees and radians.
• 4.3: Sine and Cosine
  • Definition using unit Circle
  • Domain and Range of Sine & Cosine
  • If you want a challenge, try answering #45 from this section.

Quiz 5:

Review for 2.4 & 2.5

Khan Academy Videos:

• Graphing Rational Functions
• Graphs of Logarithmic and Exponential Functions
• Properties of Logarithms
• Using the Properties of Logarithms: Multiple Steps
• Exponential Decay 
• Sine and Consine defined using Unit Circle