Exponential growth & decay
9 videos
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6
Integrated Math - What Are Exponential Functions?
Learn how exponential functions work through repeated multiplication, why they grow faster than linear functions, and see real-world examples like viral sharing and population growth.
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Integrated Math - Exponential vs. Linear Growth
Learn the difference between linear and exponential growth through tables, graphs, and real-world examples. Discover how constant differences create lines while constant ratios create curves.
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Integrated Math - Initial Value and Common Ratio
Learn exponential functions: y = a·b^x. Understand how 'a' represents initial value and 'b' is the common ratio that determines growth rate.
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Integrated Math - Writing Exponential Growth Functions
Learn how to write exponential growth functions using a social media follower example. Covers initial value, growth rate, and growth factor calculations.
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Integrated Math - Exponential Decay Explained
Learn exponential decay with a real-world phone example. Understand how values shrink over time when the common ratio is between 0 and 1.
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Integrated Math - Writing Exponential Decay Functions
Learn how to write an exponential decay function to calculate a laptop's value over time, losing 20% annually. Includes step-by-step formula setup and real example.
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Integrated Math - Graphing Exponential Functions
Learn how to graph exponential functions by finding key points, identifying the y-intercept and horizontal asymptote, and determining growth vs. decay based on the base value.
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Integrated Math - Finding Exponential Functions from Tables and Graphs
Learn how to find exponential equations from tables or graphs in two simple steps: identify the initial value (a) and calculate the common ratio (b).
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Integrated Math - Why Exponential Growth Always Wins
This video compares linear vs exponential growth using job offers, showing how exponential growth eventually surpasses linear growth despite starting slower.