## Exponential Functions Part 1

Exponential Functions Part 1
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Be familiar with and recognize the algebraic form for an exponential model, including the corresponding parameters and if those parameters have any meaning in the context of the functional relationship (e.g. does a parameter control the initial value, rate of change (shape), decreasing or increasing (flip), max/min, limiting values, etc.).
• What is an exponential model?
• What are the parameters in an exponential model?
• What is the difference between a finite / discrete and a continuous exponential function?
• How do you find the initial value in an exponential model?
• What is the difference between a relative rate and an absolute rate?
• How do you calculate the relative rate of an exponential model at a particular time?
• What is growth factor for an exponential function and how do you find it?
• When does an exponential function increase / grow or decrease / decay?
• What happens to D(t) = ab^t when b > 1 or when 0 < b < 1?
• What happens to D(t) = ae^kt when k > 0 or when k < 0?
This lesson explains the parameters of an exponential model and what they mean. Relative rate and growth rate of an exponential function is also explained. This is a great introduction to non-linear functions, and the problem sets are very helpful.
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Reviewed by MathVids Staff on July 24, 2010.  