Download presentation

Presentation is loading. Please wait.

1
8.3 The natural base e

2
Definition of e e

3
**The Graph of the Natural Base Function y = aex-h + k**

Graph Natural base function.tii

4
**The Graph of the Natural Base Function y = aex-h + k**

Exponential function Natural base function This function is an exponential function. * 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.

5
**The Graph of the Natural Base Function y = aex-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

OK

7.1 Exponential Models Honors Algebra II. Exponential Growth: Graph.

7.1 Exponential Models Honors Algebra II. Exponential Growth: Graph.

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on technology development in india Ppt on quality control in industrial management Ppt on op amp 741 Ppt on recycling of waste materials Ppt on corbett national park Ppt on bluetooth communication headsets Ppt on turbo c compiler Ppt on shell scripting interview Ppt on famous temples of india in hindi Ppt on chromosomes and genes for kids