3The Graph of the Natural Base Function y = aex-h + k Graph Natural base function.tii
4The Graph of the Natural Base Function y = aex-h + k Exponential function Natural base functionThis function is an exponentialfunction.* a changes the distance from the asymptote to the y-intercept.h shifts the graph horizontally.k shifts the graph vertically.The a, h, k function the same.
5The Graph of the Natural Base Function y = aex-h + k Exponential function Natural base functionExponential growth,b > 1 ( With a positive x.)* Exponential growth, e is greater than one with a positive x.* Exponential decay b is greater than 0 but less than one. (With a positive x.)* e is fixed so multiplying x by a negative number produces a decay.
7Compound Interest Problem Recall for the compound interest formula for interest compounded n times a year.For continuous compounded (compounded all the time) we use the following formula.A = balance P = principle r = %/100 t = years
8Interest ProblemYou deposit $975 in an account that pays 5.5% annual interest compounded continuously. What is the balance after 6 years?