Domain:  Range:  x-intercept:  y-intercept:  Increasing:  Decreasing:  Minimum or Maximum:  End Behavior:

WARM UP

NOTESEXPONENTIAL GROWTH

AND DECAY

Do you think this problem represents growth or

decay?

Example 1

LET’S LOOK AT THE GRAPH…0 80001 66962 5604.553 4691.014 3926.385 3286.386 2750.77 2302.338 1927.059 1612.9410 1350.0311 1129.9812 945.79213 791.62814 662.59215 554.59

WHAT CAN YOU SAY ABOUT THE GRAPH?

• Domain:

• Range:

• Asymptote:

• Increasing: • never

• Decreasing: • Always

• y-intercept• (0, 8000)

Let’s make a table and graph…

Example 2

0 8000111313.72 16000322627.44 32000545254.86 64000790509.78 1280009 18101910 25600011 36203912 51200013 724077

Let’s make a table and graph…

WHAT CAN YOU SAY ABOUT THE GRAPH?

•Domain:

•Range:

•Asymptote:

• Increasing: • always

•Decreasing: •never

• y-intercept• (0, 8000)

𝟖𝟎𝟎𝟎𝒉𝒂

𝟑𝟐 ,𝟎𝟎𝟎𝒉𝒂;𝟗𝟎 ,𝟓𝟎𝟎𝒉𝒂

Which of the following organisms' populations is not likely to exhibit exponential growth?

A) bacteria B) gorillas C) cockroaches D) rats?

WHY?

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

Homework:½ sheet

YOUR TURN

For each problem include the following: Domain ; Range; Asymptote; y-intercept ; Increasing / Decreasing