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11-2 Exponential Functions

11-2 Exponential Functions. Power Function – a function with base x and any real number as the exponent (ex: y= x 4 ) Exponential Function- function with a positive base and a variable as the exponent (ex: y = 3 x ). Exponential Function y = a • r t

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11-2 Exponential Functions

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  1. 11-2 Exponential Functions

  2. Power Function – a function with base x and any real number as the exponent (ex: y=x4) Exponential Function- function with a positive base and a variable as the exponent (ex: y = 3x)

  3. Exponential Function y = a • rt a = original amount, r = rate t= time Rate can be several things…. (1 ± r) for growth or decay (2) For “double” (1/2) for half life

  4. 3) Suppose two mice live in a barn. If the number of mice quadruples every 3 months, how many mice will be in the barn in after 2 years? 4) Find the equation that models the data:

  5. When kerosene is purified to make jet fuel, pollutants are removed. Suppose a filter is fitter in a pipe so that 15% of impurities are removed for every foot that the kerosene travels. Write an exponential function to model the situation About what percent of impurities will remain after the kerosene travels 12 feet. Will the impurities ever be complete removed? Why/Why not?

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