Download presentation

Presentation is loading. Please wait.

Published byNina Boatman Modified over 2 years ago

1
Comparing Exponential and Linear Functions Lesson 3.2

2
Table of Values Use the data matrix of your calculator to enter the following values. Column 1 is the x values Columns 2 and 3 are the f(x) and g(x) x01234567 f(x)1218243036424856 g(x)1215.620.326.434.344.657.975.3

3
Table of Values Click APPS then 6, then Current (F1, 8 to clear if needed) Enter values as shown below

4
Two Different Functions Note the succession of values for f(x) Differ by 6 each This implies linear

5
Two Different Functions Note the succession of values for g(x) They do NOT differ by a constant However, the successive values have the same ratio Show by placing formula in column 4 Cursor must be here Note ratio is 1.3 This shows it is an exponential function.

6
How to Determine the Formula From previous lesson we know that Where b is the growth factor In our case the common ratio = 1.3 Solve for a Substitute b = 1.3, any ordered pair

7
Determine Function from Two Points We can create two equations with two unknowns Solve for one of the variables Substitute into the other equation (-1, 2.5) (1, 1.6) Answer b=0.8 a=2

8
Compare and Contrast Linear y = m*x + b y = m+m+ … m+ b x terms Exponential y = a * b x y = a * b * b * … * b x factors

9
Compare and Contrast Exponential growth will always outpace linear growth In the long run Eventually Question: Where? Solve graphically or algebraically or observe table

10
Where Exponential Passes Linear Given y = 100 (1.02) x y = 100 + 12x Algebraically : no current tools to solve 100 (1.02) x = 100 + 12x Graphically : ask calculator to find intersection Or observe tables

11
Assignment Lesson 3.2A Page 119 Exercises 3, 5, 7, 9, 11, 13, 15, 17, 21, 23, 25 Lesson 3.2B Page 121 Exercises 27 – 39 odd

Similar presentations

OK

Logarithmic Functions and Models Lesson 5.4. A New Function Consider the exponential function y = 10 x Based on that function, declare a new function.

Logarithmic Functions and Models Lesson 5.4. A New Function Consider the exponential function y = 10 x Based on that function, declare a new function.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on consistent and inconsistent equations Chemistry ppt on hydrogen Story like ppt on parts of speech Ppt on 500 mw turbo generator Ppt on instrument landing system suppliers Ppt on the art of war book Ppt on reflection of light for class 10th Ppt on forest society and colonialism in india Ppt on development of dentition Download ppt on indus valley civilization location