Topics:
• Graphing and Apply
Exponential Functions
• Transforming Exponential
Functions
MAT 150
Algebra
Class #16
Review
 Properties
of Exponents on pages 309-312.
Exponential Functions
Identifying Exponential
Functions
Type of Function?
(circle one)
If Exponential, is it
Growth or Decay?
(circle one)
𝑦=
Linear, Quadratic,
Exponential
Growth, Decay,
None
𝑦=
Linear, Quadratic,
Exponential
Growth, Decay,
None
𝑦=
Linear, Quadratic,
Exponential
Growth, Decay,
None
𝑦=
Linear, Quadratic,
Exponential
Growth, Decay,
None
Function
Graphing Exponential
Functions
1. Graph 𝒚 = for −𝟑 ≤ 𝒙 ≤ 𝟓.




Create a table of values for the given domain.
Plot the points on a graph.
Draw the function connecting the points.
Label the x-intercept, y-intercept, and horizontal
asymptote. State the domain and range.
2. What is the value of b? _____ Did this cause a
growth or decay? _________
Transformations of Graphs
Explain how the graph of each of the following
functions compares with the graph of 𝑦 = using
the graphing calculator with −5 ≤ 𝑥 ≤ 10 and
− 50 ≤ 𝑦 ≤ 250.
A.
𝑦=
and 𝑦 =
B.
𝑦=
and 𝑦 =
C.
𝑦=
and 𝑦 =
The Number e ≈
This number occurs in biology and finance.
𝑆 = dollars,
where S of an investment of P dollars for t
years at interest rate r, compounded
continuously.
Sales Decay
It pays to advertise, and it is frequently true that weekly
sales will drop rapidly for many products after an
advertising campaign ends. Suppose that the decay in
the sales of a product is given by 𝑆 =
dollars, where x is the number of weeks after the end of
a sales campaign.
1.
2.
3.
4.
What is the level of sales when the advertising
campaign ends?
What is the level of sales 1 week after the end of the
campaign?
Using the graph, estimate the week in which sales
equal $500.
According to the graph/model, will sales ever fall to
zero?
Assignment
Pg. 321-323
#1-3
#7
#13-18
#23-25
#29,33,40