Exponential & Logarithmic Functions

Tim Brzezinski, Sep 15, 2015

Exponential and Logarithmic Functions


  • 1. Exponential Growth vs. Decay: Quick Warm Up
  • 2. Exponential Functions Anatomy
  • 3. Exponential Functions: Graphs
  • 4. Logarithmic Functions: Graphs
  • 5. Modeling with Exponential Functions V1
  • 6. Modeling With Exponential Functions V2
  • 7. Quiz: Graphing Exponential Functions
  • 8. Half-Life Action!!!
  • 9. Half-Life Action (2)!!!
  • 10. Half-Life Action (3)!!!
  • 11. Quiz: Writing Exponential Growth & Decay Functions
  • 12. Exponential Growth and Decay: Modeling and Analyzing Graphically
  • 13. Logarithmic Functions Anatomy
  • 14. Logarithmic Action!
  • 15. Logarithmic Action (2)!
  • 16. Logarithmic Action (3)!
  • 17. Logarithmic Action (3: V2)
  • 18. Logarithmic Action (4)!
  • 19. Logarithmic Action (4)! V2

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Exponential Growth vs. Decay: Quick Warm Up

Interact with this app for a minute or two. Be sure to move the LARGE POINT and slider. Then answer the questions that follow.
Can we see the initial amount in the equation of an exponential growth or decay curve? If so, where is it?
Suppose we have an equation of the form [math]y=a\cdot b^x[/math]. What is the initial amount (in terms of [i]a[/i] and/or [i]b[/i])?
Suppose we have an equation of the form [math]y=a\cdot b^x[/math], where [i]a[/i] > 0 & [i]b[/i] > 0. [br]Without looking at its graph, we tell for sure if the curve is an exponential growth curve or exponential decay curve? Explain.
Suppose a $3 item increases in value by 29% per year. Which of the following statements are true?
Suppose [i]y[/i] = the value of an item after [i]x[/i] years. And suppose [math]y=5\cdot0.75^x[/math]. Which of the following statement(s) are true?
– Tim Brzezinski

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