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

4.5.7 Lesson Summary

Algebra 14.5.7 Lesson Summary

Search for key terms or text.

In this lesson, you learned how to:

  • Use technology to graph a function given in function notation, and use the graph to find the values of the function.
  • Be able to identify if a graph represents a function through the vertical line test.
  • Explain different ways to find the value of a function and to solve equations written in function notation.
  • Explain what makes a function a linear function.

Here are the activities that helped you reach those goals:

  • 4.5.1: Finding Solutions of Equations
    • In this activity, you evaluated functions at a specific input value to find the output.
  • 4.5.2: Using the Vertical Line Test
    • In this activity, you determined which graphs were functions based on the vertical line test.
    • 4.5.2: Self Check
    • 4.5.2: Additional Resources
  • 4.5.3: Comparing Functions
    • In this activity, you compared the values of two functions representing cell phone plans. You explained the function notation in words and graphed the functions.
    • 4.5.3: Self Check
    • 4.5.3: Additional Resources
  • 4.5.4: Using Function Notation and Graphing Technology
    • In this activity, you used graphing technology to find the output value of a function given an input value. You also worked backward to find the input value given an output value of a function.
    • 4.5.4: Self Check
    • 4.5.4: Additional Resources
  • 4.5.5: Using Graphical and Algebraic Approaches for Finding Unknowns of Linear Functions
    • In this activity, you used graphical or algebraic approaches to find missing inputs or outputs. You explained the meaning of function notation in the given context.

After these activities, you completed the following practice:

  • 4.5.6: 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.