Section: Module 5: Lesson 1: Exponential Functions | Intro to Algebra & Trigonometry | NextGenU.org

  • Student Learning Outcomes:
    Upon completion of this lesson, you will be able to:
    • Identify an exponential situation by words.
    • Define and identify an exponential function by its equation.
    • Identify an exponential function by its graph.
    • Find the domain and range of an exponential function.
    • Evaluate exponential functions.
    • Evaluate applications of exponential functions.
    • Find the equation of an exponential function from two points when the initial value is known.
    • Find the equation of an exponential function from two points when the initial value is unknown.
    • Find the equation of an exponential function given its graph.
    Approximate time required for the readings for this lesson (at 144 words/minute): 4 hours and 57 minutes.

    Click here to start this lesson
    • Required Learning Resources and Activities
    • Read Section 6.1: Exponential Functions - Pages 643-655. (67 minutes)

      OpenStax-Rice University - 2015

    • In this activity, you will study and solve a given case problem below.

      Step 1. Review

      Review the learning resources for this lesson before studying the case problem.

      Step 2. Analyze

      Analyze the case problem below.

      According to a world almanac, the population of the world in 1986 was estimated to be 4.7 billion people. Assuming that the world’s population is growing at the rate of 1.8% per year, Using the exponential growth model, 


      A= A0e0.018t

      where is the population at year zero, which in this case, is 1986; A is the population (in billions) t years after 1986, and e = 2.718, estimate the world population in the year 2022.

      Step 3. Respond

      Respond to the case problem by showing the steps you take to solve this problem, and the theorems, properties, or laws you used to enable you to move from step to step in the solution.

      Step 4. Share

      To share your work, click on the “Add a new discussion topic” button under this post and paste your work in the “Message” box. Make sure to reference others’ intellectual property when necessary. All references should follow 7th Edition APA formatting. For further instructions, see the resource on the Himmelfarb Health Sciences Library: APA citation resource (N.B. references are excluded from word counts).

      Step 5: Interact

      To complete the activity, you will need to reply to at least two posts made by your peers in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “post to the forum.”

      OPTIONAL Step 6: Interact (10 minutes)

      If you would like to, you can reply to your peers' posts in a respectful and professional manner. Ensure that your post engages your peers' ideas by including a reflection on their comments, sharing ideas of other potential difficulties and parties involved, or asking thought-provoking questions. If a peer comments on your posting, please reply. To post a reply, click “Reply” on a particular discussion, write your feedback and then click on “Post to forum.”


    • quiz icon
      Quiz: Module 5: Lesson 1

      To access the quiz, click on the name of the quiz provided above. On the following screen, click the "Preview quiz now" button to respond to the questions.

      TO PASS THIS QUIZ YOU MUST OBTAIN A SCORE OF 7/9

      Not available unless: The activity Quiz: Module 4: Lesson 2 is marked complete
    • Additional Resources for Optional Learning
    • Read the page up to Example 6.2.6. (50 minutes)