Exponential growth & decay
8 videos
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Algebra 1 - Exponential Growth & Decay: Why It Matters
Learn how exponential functions work through real-world examples like viral videos and phone batteries. Understand the difference between exponential growth and decay.
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Algebra 1 - Exponential vs. Linear Growth
Learn the difference between linear and exponential growth through a compelling example comparing $100 daily vs. a penny that doubles, revealing exponential power.
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Algebra 1 - Initial Value and Common Ratio Explained
Learn how exponential functions work using y=a(b^x), where 'a' is the initial value and 'b' is the common ratio that determines growth rate through a viral video example.
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Algebra 1 - Exponential Growth vs. Decay
Learn the difference between exponential growth and decay by understanding the base value in y = a·b^x. When b > 1, it's growth; when 0 < b < 1, it's decay.
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Algebra 1 - Writing Exponential Functions from Word Problems
Learn how to write an exponential decay function for a car losing 15% value yearly, starting at $20,000. Covers the formula f(t) = a × b^t and calculating its worth after 6 years.
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Algebra 1 - Graphing Exponential Functions
Learn how to graph exponential functions by plotting key points, identifying the y-intercept, and understanding horizontal asymptotes with a step-by-step example.
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Algebra 1 - Finding Exponential Functions from Tables and Graphs
Learn to find exponential equations from tables or graphs in two steps: identify the initial value (a) and calculate the common ratio (b) by dividing consecutive y-values.
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Algebra 1 - Linear or Exponential? Analyzing Real Data
Learn to identify exponential vs. linear growth by testing differences and ratios between consecutive data values using a candle sales example.