Skip to ContentGo to accessibility pageKeyboard shortcuts menu
OpenStax Logo
Algebra 1

5.12.6 Lesson Summary

Algebra 15.12.6 Lesson Summary

Search for key terms or text.

In this lesson, you learned how to:

  • Describe the effect of changing aa and bb on a graph that represents f(x)=a·bxf(x)=a·bx.
  • 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 aa and bb influence the graph representing a function ff defined by an equation of the form f(x)=a·bxf(x)=a·bx.
    • 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 bb 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:

  • 5.12.5: Practice

Checking In

On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson?

Citation/Attribution

This book may not be used in the training of large language models or otherwise be ingested into large language models or generative AI offerings without OpenStax's permission.

Want to cite, share, or modify this book? This book uses the Creative Commons Attribution-NonCommercial-ShareAlike License and you must attribute OpenStax.

Attribution information
  • If you are redistributing all or part of this book in a print format, then you must include on every physical page the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

  • If you are redistributing all or part of this book in a digital format, then you must include on every digital page view the following attribution:

    Access for free at https://openstax.org/books/algebra-1/pages/about-this-course

Citation information

© May 21, 2025 OpenStax. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike License . The OpenStax name, OpenStax logo, OpenStax book covers, OpenStax CNX name, and OpenStax CNX logo are not subject to the Creative Commons license and may not be reproduced without the prior and express written consent of Rice University.