Growth & Decay

Exponential functions are functions where the base is a constant number and the exponent is a variable. The general exponential function takes the form: y = a ยท bx where a is the initial amount and b is the factor that the amount gets multiplied by each time x is increased by one.

There are two types of exponential functions, exponential growth and exponential decay. Exponential growth functions start out growing slowly and then grow faster and faster. There will be a consistent fixed period during which the function will increase by a fixed proportion. Exponential decay functions start out decreasing quickly and then decrease slower and slower. There is a consistent fixed period during which the function will decrease by a fixed proportion.

In this book, exponential growth functions will be discussed.

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