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Learn about exponential growth and decay with Khan Academy's free, world-class education resources.
Learn about exponential growth and decay with practice problems and examples on Khan Academy.
For constant increments in x, a linear growth would increase by a constant difference, and an exponential growth would increase by a constant ratio.
We'll explore the key differences between exponential and linear growth, and get plenty of practice with exponential expressions. As we delve into graphs and tables, we'll start to see patterns and understand how to model these changes ourselves.
An exponential function represents the relationship between an input and output, where we use repeated multiplication on an initial value to get the output for any given input. Exponential functions can grow or decay very quickly.
Exponential vs. linear growth: review. Linear and exponential relationships differ in the way the y -values change when the x -values increase by a constant amount: -values have equal differences. -values have equal ratios.
Exponential growth & decay | Khan Academy. Operations and Algebraic Thinking 229+ 8 units · 110 skills. Unit 1 Solving equations & inequalities. Unit 2 Linear equations & graphs. Unit 3 Forms of linear equations. Unit 4 Systems of equations.
This topic covers: - Radicals & rational exponents - Graphs & end behavior of exponential functions - Manipulating exponential expressions using exponent properties - Exponential growth & decay - Modeling with exponential functions - Solving exponential equations - Logarithm properties - Solving logarithmic equations - Graphing logarithmic ...
Unit 8: Exponential functions & finance. Our mission is to provide a free, world-class education to anyone, anywhere. Khan Academy is a 501 (c) (3) nonprofit organization. Donate or volunteer today!
Exponential growth vs. decay. Graphing exponential growth & decay. Graphing exponential growth & decay. Connecting exponential graphs with contexts. Transforming exponential graphs. Transforming exponential graphs (example 2) Exponential vs. linear growth over time.