Exponential Functions

Introduction to Exponential Functions

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Guoyu Huang

Learning Objectives

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What are Exponential Functions?
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Exponential functions are functions in which the rate of change of the independant variable y increases as the independant variable x decreases. Exponential functions are usually written in the above form.

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Exponential Decay
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The Exponential Decay model is useful when modelling certain scenarios in which an event is occuring at a deccelerating pace over time. This can include the amount of a drug inside a patients bloodstream after a dose is taken, the population of an animal species when a disease is spreading and can also be used to model the decay of certain radioactive elements. 

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Exponential Growth
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The Exponential Growth model is useful when modelling certain scenarios in which something occurs at an accelerating pace over time. This can include the number of cases in a pandemic, the amount of money saved up in an interest-yielding bank account and the population of a certain animal species.

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Introduction to Exponential Functions
Differentiating e
What is so Special About e?
Worked Examples - Exponential Functions
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