Math 110 Section 21 Test 3 Review

Back to Math 110 Section 21 Webpage

• Take a survey on D2L (this is due by Sunday at 7 pm)
• Workbook Review Exercises 103-121, 132-183 on p. 213-225. Answers (this is not for credit)
  
• Topics
  • Section 3.3: Rational functions
    • Definition of a rational function
    • Vertical asymptotes
    • Domain
    • Non-vertical asymptotes (horizontal/slant), long division
    • Zeros/intercepts
    • Graphs of rational functions
    • Writing the equation from the graph
  • Section 4.1: Exponential functions
    • Definition of an exponential function
    • Shape of an exponential function (horizontal asymptote, etc.)
    • Compound interest formula
    • Definition of doubling time and half-life
    • Writing the equation from a graph
  • Section 4.2: Natural exponential function (e)
    • e=2.71828...
    • Continuously compounded interest
    • Using Newton's Law of Cooling
  • Section 4.3: Inverse functions
    • Definition of inverse
    • One-to-one functions
    • Inverse for graphs, tables, equations, applications
  • Section 4.4: Logarithmic functions
    • Definition of log
    • Translating between log and exp
    • Evaluating simple logs by hand
    • Shape of log graphs (vertical asymptote, domain, etc.)
    • Natural log (base e)
    • Common log (base 10)
    • Properties and identities (list - pdf)
    • Expanding and simplifying log expressions using properties and identities
  • Section 4.5: Exponential and logarithmic equations
    • Change of base formula
    • Solving exp and log equations