Act. M3.S13.! Introduction to exponential functions

Updated: 4/20/2020

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- Hi everyone, I'm Alejandro. And todayI will talk about exponential fuctions
- Today is 20 of april and the name of this topic is "Introduction to exponential functions"
- Exponential functions are uniquely characterized by the fact that the growth rate of such a function (that is, its derivative) is directly proportional to the value of the function.
- And this is its formulaf(x)=abx
- Where b is a positive real number, and in which the argument x occurs as an exponent
- The domain of exponential functions is all real numbers. The range is all real numbers greater than zero.
- Imagine $4000 is invested at 6% interest compounded annually; we want to know how much money we have in five years.
- Your formula is y = 4000 (1.06)xThe x is the years that passed
- The exponential function - Math Insight. (n.d.). Retrieved April 20, 2020, from https://mathinsight.org/exponential_functionSparkNotes: Exponential and Logarithmic Functions: Exponential Functions. (n.d.). Retrieved April 20, 2020, from https://www.sparknotes.com/math/precalc/exponentialandlogarithmicfunctions/section1/
- The population of a town is estimated to increase by 15% per year. The population today is 20 thousand.
- Your formula is y= 20 (1.15)x