Notes 7.2 Exponential Growth and Decay.notebook
January 30, 2015
Notes 7.2: Graphing Exponential Growth and Decay
Remember these exponent rules???
1. 2­3
2. 3. 4. 7­2
5. 6. Notes 7.2 Exponential Growth and Decay.notebook
Exponential Growth vs. Exponential Decay
y = abx
Growth = b > 1; growth factor = b;
Decay = 0 < b < 1; decay factor = b;
January 30, 2015
Notes 7.2 Exponential Growth and Decay.notebook
Determine if the function represents exponential growth or decay. Then, state the growth or decay factor.
7.
Growth or Decay
8.
Growth or Decay
9.
Growth or Decay
10.
Growth or Decay
January 30, 2015
Notes 7.2 Exponential Growth and Decay.notebook
January 30, 2015
Let's practice graphing! 12.
11.
Ref Point:
Ref Point:
Asymptote:
Asymptote:
Domain:
Domain:
Range:
End Behavior:
Range:
End Behavior:
Notes 7.2 Exponential Growth and Decay.notebook
January 30, 2015
14.
13.
End Behavior:
Ref Point:
Ref Point:
Asymptote:
Asymptote:
Domain:
Domain:
Range:
Range:
End Behavior:
Notes 7.2 Exponential Growth and Decay.notebook
January 30, 2015
Writing Exponential Growth and Decay Functions in Real Life!!!
Remember this from yesterday?
A(t) = a(1 + r)t
Sometimes you have to use given values to find r!
15. The table shows the world population of the lynx in 2003 and 2004. If this trend continues and the population is decreasing exponentially, how many lynx will there be in 2015?
Year
2003 2004
Population 150
120
Notes 7.2 Exponential Growth and Decay.notebook
January 30, 2015
Write an exponential function to model each situation. Find each amount after the specified time.
16. A population of 120,000 grows 1.2% per year for 15 years.
17. A population of 1,860,000 decreases 1.5% each year for 12 years.