Suppose two mice live in a barn.  If the number of mice quadruples every 4 months, how many mice will there be in 2 years?
 
8.1  Exploring  Exponential  Functions
Exponential Functions <ul><li>y = a ∙ b x </li></ul><ul><li>Where a =  , b =   </li></ul><ul><li>Used to model  __________...
Example 1 .  Graph y = 2  ∙ 3 x x  y
<ul><li>Example 2. </li></ul><ul><li>Determine whether each function models exponential growth or exponential decay.  Then...
Example 3.   In 2000, the annual rate of increase in US population was 1.24%. <ul><li>Predict the population in 2015. </li...
<ul><li>Example 4 . </li></ul><ul><li>Find an exponential model that includes the points (2, 2) and (3, 4). </li></ul>
The exponential decay graph shows the expected depreciation for a car over four years.  Estimate the value of the car afte...
<ul><li>Assignment: </li></ul><ul><li>Pg. 426 #9, 10 – 22e, 32, 34, 38, 40, 54 </li></ul>
Upcoming SlideShare
Loading in...5
×

8.1 Exponential Functions (inked)

734

Published on

Published in: Education, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
734
On Slideshare
0
From Embeds
0
Number of Embeds
1
Actions
Shares
0
Downloads
11
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Transcript of "8.1 Exponential Functions (inked)"

  1. 1. Suppose two mice live in a barn. If the number of mice quadruples every 4 months, how many mice will there be in 2 years?
  2. 3. 8.1 Exploring Exponential Functions
  3. 4. Exponential Functions <ul><li>y = a ∙ b x </li></ul><ul><li>Where a = , b = </li></ul><ul><li>Used to model __________________ </li></ul><ul><li>and _______________________ </li></ul>
  4. 5. Example 1 . Graph y = 2 ∙ 3 x x y
  5. 6. <ul><li>Example 2. </li></ul><ul><li>Determine whether each function models exponential growth or exponential decay. Then find the growth or decay factor. </li></ul><ul><li>y = 100(.12) x </li></ul><ul><li>y = 0.2(5) x </li></ul><ul><li>y = 16( ½ ) x </li></ul>
  6. 7. Example 3. In 2000, the annual rate of increase in US population was 1.24%. <ul><li>Predict the population in 2015. </li></ul><ul><li>Why might this not be valid? </li></ul><ul><li>Find the growth rate. </li></ul><ul><li>Write a function to model the growth. </li></ul>http://www.census.gov/population/www/popclockus.html
  7. 8. <ul><li>Example 4 . </li></ul><ul><li>Find an exponential model that includes the points (2, 2) and (3, 4). </li></ul>
  8. 9. The exponential decay graph shows the expected depreciation for a car over four years. Estimate the value of the car after six years. Example 5 .
  9. 10. <ul><li>Assignment: </li></ul><ul><li>Pg. 426 #9, 10 – 22e, 32, 34, 38, 40, 54 </li></ul>
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×