Announcements

1
Announcements

• Next test Chapter 3, 4.1,4.2 Tuesday after
  Thanksgiving (November 28)
• Review sessions will be Sunday 11/26 at 500, 209
  Armstrong, Monday 11/27 at 500, room TBA
• Homework quiz on 4.1, 4.2 posted
• Chapter 3 review quiz posted
• Lab posted to make up for Tuesday (Election
  Day)open through November 17
• Another make up lab will be available by
  Thanksgiving, to remain up until the end of the
  semester

2
HW 3.5 13.
3
HW
4
Exponential Function Characteristics
5
Exponential Function Characteristics

• where the base b is a positive real number
  other than 1.

6
A stock has an initial value of 2,000 per share.
If the stock increases in value 9 per year,
find a model for the stock value as a function of
time in years. 1) V( t)2000(1.09)t 2)
V(t)2000(0.09)t 3) V(t)1.09(2000)t 4)
V(t)2000(0.81)t
7
Exponential Function

• How can we determine if data is exponential?
• Find k and determine if it is constant.
• Determine if the ratio of consecutive values is
  constant. The constant will be the base.
  

8
Given the following set of data and that the
ratio of the dependent data is constant, choose
the correct exponential model for the data set.

• y2X 3) y3X
• 2) y32X 4) y23X

9
Exponential Decay

• Exponential decay is based on a constant rate of
  decrease k from an initial amount at an initial
  time t.

10
Depreciation

• A computer costs 3000 and depreciates 20 per
  year. What is the computer worth in 5 years?

11

• Using the model for our computer, find the value
  of the computer after 10 years.
• Model C(t)3000(0.80)t
• 1) 0 2) 322.12 3) 300.05
• 4) 456.76 5) 125.66 6) 288.93

12
Exponential Growth
13
Exponential Decay
14
Transformation of Exponential Function

• What are the effects of a, c and d in the
  transformation of the exponential function
• Example

15
1) A(t)5.5(1.06)t 2) A(t)7.4(1.44)t 3)
A(t)1.3(0.97)t 4) A(t)0.5(1.01)t

• Which of the following equations represent a
  model of exponential decay?