Exponential Growth and Decay

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Transcript Exponential Growth and Decay 

Domain:
Range:
x-intercept:
y-intercept:
Increasing:
Decreasing:
Minimum or Maximum:
End Behavior:
EXPONENTIAL GROWTH
AND DECAY
NOTES
Example 1
Do you think this problem
represents growth or decay?
LET’S LOOK AT THE GRAPH…
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
8000
6696
5604.55
4691.01
3926.38
3286.38
2750.7
2302.33
1927.05
1612.94
1350.03
1129.98
945.792
791.628
662.592
554.59
WHAT CAN YOU SAY ABOUT THE
GRAPH?
β€’ Domain:
‒𝑑 β‰₯0
β€’ Increasing:
β€’ never
β€’ Range:
‒𝑅 >0
β€’ Decreasing:
β€’ Always
β€’ Asymptote:
‒𝑅=0
β€’ y-intercept
β€’ (0, 8000)
Example 2
Let’s make a table and graph…
Let’s make a table and graph…
0
1
2
3
4
5
6
7
8
9
10
11
12
13
8000
11313.7
16000
22627.4
32000
45254.8
64000
90509.7
128000
181019
256000
362039
512000
724077
WHAT CAN YOU SAY ABOUT THE
GRAPH?
β€’ Domain:
‒𝒏 β‰₯ 𝟎
β€’ Increasing:
β€’ always
β€’ Range:
‒𝑨 > 𝟎
β€’ Decreasing:
β€’ never
β€’ Asymptote:
‒𝑨=𝟎
β€’ y-intercept
β€’ (0, 8000)
πŸ–πŸŽπŸŽπŸŽ 𝒉𝒂
πŸ‘πŸ, 𝟎𝟎𝟎 𝒉𝒂
;
πŸ—πŸŽ, πŸ“πŸŽπŸŽ 𝒉𝒂
Which of the following
organisms' populations is not
likely to exhibit exponential
growth?
A) bacteria
B) gorillas
C) cockroaches
D) rats?
Gorillas are the largest of the living
primates. They are ground-dwelling and
predominantly herbivorous. Gestation is
8½ months. There are typically 3 to 4
years between births. Therefore they
would not experience exponential
growth such as bacteria, cockroaches
or rats
YOUR TURN 
For each problem include the following:
Domain ; Range; Asymptote; y-intercept ;
Increasing / Decreasing