In this lesson, you learned how to:

• Describe the effect of changing $a$ and $b$ on a graph that represents $f(x)=a·b^x$.
• Use equations and graphs to compare exponential functions.

Here are the activities that helped you reach those goals:

• 5.12.1: Modeling Exponential Decay
  • In this activity, you practiced modeling a situation characterized by exponential decay with an equation.
• 5.12.2: Equations and Their Graphs
  • In this activity, you examined how the numbers $a$ and $b$ influence the graph representing a function $f$ defined by an equation of the form $f(x)=a·b^x$.
  • 5.12.2: Self Check
  • 5.12.2: Additional Resources
• 5.12.3: Graphs Representing Exponential Decay
  • In this activity, you explored how the parameter $b$ influences the graph of an exponential function, which prepared you to make sense of and model situations involving repeated percentage.
  • 5.12.3: Self Check
  • 5.12.3: Additional Resources
• 5.12.4: Possible Equation for a Function on a Graph
  • In this activity, you determined the graphed equation that defined a given function.

After these activities, you completed the following practice and review:

• 5.12.5: Practice
• 5.12.6: Lesson Summary