Pre-Calculus
4.1 Notes
Name:
Exponential Functions
Exponential Function:
Example 1: Graph the functions on the same set of axes.
( )
Function
Example 2: Use
Domain
Range
Horizontal Asymptote
to describe the transformations of
a.
b.
d.
e.
-
c.
f.
Example 3:
graph.
Write an equation for the exponential function described below. Sketch a
a. Through the points
and
b.
Through the points
and
The Natural Exponential Function:
Compound Interest:
daily
hourly
Continuously Compound Interest:
Example 4: Suppose you have
to invest in the bank. The bank has an interest rate of
per year and will allow you to invest for years. The bank gives you three
“compounding” options below. What is the final balance after two years for
each?
a) Quarterly
b) Weekly
c) Continuously