Download presentation

Presentation is loading. Please wait.

Published bySophia Forbes Modified over 3 years ago

1
8.3 The natural base e

2
Definition of e e

3
The Graph of the Natural Base Function y = ae x-h + k Graph Natural base function.tiiNatural base function.tii

4
The Graph of the Natural Base Function y = ae x-h + k Exponential function Natural base function This function is an exponential function. The a, h, k function the same. * a changes the distance from the asymptote to the y-intercept. h shifts the graph horizontally. k shifts the graph vertically.

5
The Graph of the Natural Base Function y = ae x-h + k Exponential function Natural base function Exponential 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.

6
Problems - Simplifying

7
Compound 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

8
Interest Problem You deposit $975 in an account that pays 5.5% annual interest compounded continuously. What is the balance after 6 years?

Similar presentations

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google