Unformatted text preview: Exponential Functions Previously, we have covered linear functions. Now, we add another kind of function to our repetoire: exponential functions. These are called exponential functions because the indepandent variable (x) is an exponent. In many ways, exponential functions are similar to linear functions. Linear Functions Exponential Functions Constant rate of change Constant percent change y mx b = + x y Ca = m = slope = ROC a = 1 + r where r = % change b = yintercept = initial value C = yintercept = initial value m positive = function increasing r positive = a > 1 = function increasing m negative = function decreasing r negative = a < 1 = function decreasing Ex : A mother bought a package of 500 paper plates. She uses 10 plates per day. Write a function that computes the number of plates, p, the mother has left after t days. Ans : Since the mother uses plates at a constant rate, this is a linear function, so we use the basic form y mx b = + . Initially, the mother has 500 plates, so b = 500. the mother has 500 plates, so b = 500....
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 Summer '08
 VAKARIETIS
 Exponential Function, Derivative, Exponential Functions

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