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References: Exponential Functions

  1. Exponential Growth - Wikipedia - Explains the mathematical definition of exponential growth, its formula, doubling time, and applications in population, finance, and biology, directly supporting this chapter's growth-factor concept.

  2. Exponential Decay - Wikipedia - Covers the mathematics of quantities that decrease by a constant proportion over time, including half-life and mean lifetime, reinforcing the chapter's decay-factor and radioactive-decay examples.

  3. Compound Interest - Wikipedia - Details the compound interest formula, compounding frequency, and derivations, matching the chapter's coverage of A = P(1 + r)^t and A = P(1 + r/n)^(nt) for investments.

  4. Big Ideas Math: Algebra 1 (Common Core Edition) - Ron Larson and Laurie Boswell, Big Ideas Learning - Includes a dedicated chapter on exponential functions covering growth, decay, and comparisons with linear models, closely mirroring this chapter's scope and sequencing.

  5. Glencoe Algebra 1 (Common Core Edition) - Carter, Cuevas, Day, Malloy, McGraw-Hill Education - Presents exponential functions, growth and decay factors, and real-world modeling problems such as depreciation and population growth, aligning with this chapter's applications.

  6. Exponential growth & decay - Khan Academy - Algebra 1 unit with videos and practice problems on constructing, graphing, and interpreting exponential functions of the form f(x) = a·b^x, matching this chapter's core content.

  7. Exponential Functions - Purplemath - Tutorial explaining the form f(x) = ab^x, graph behavior, asymptotes, and growth versus decay, useful for reinforcing the chapter's definitions and graphing steps.

  8. Exponential Growth and Decay - Math is Fun - Accessible explanation of exponential growth and decay with worked examples like population doubling and half-life, supporting the chapter's real-world modeling examples.

  9. 6.1 Exponential Functions - OpenStax College Algebra 2e - Free textbook section defining exponential functions, growth versus decay, and compound interest formulas, providing a more advanced treatment that extends the chapter's material.

  10. Exponential Functions - GeeksforGeeks - Reference article covering the exponential function formula, growth and decay behavior, and applications to population growth and compound interest, complementing the chapter's worked examples.