Exponential%20Functions

1
Exponential Functions

• Section 3.1

2
Objectives

• Evaluate an exponential function at a given
  point.
• Determine the equation of an exponential function
  given a point or two points.
• Graph an exponential function.
• State the domain and range of an exponential
  function.
• Determine the transformation of a transformed
  exponential function given an equation.
• Solve a word problem involving an exponential
  function.

3
Vocabulary

• exponential function
• base of an exponential function
• natural exponential function

4
Formula

• basic exponential function

where a gt 0 and a ? 1
5
Find each of the following for the function f
6
Graph the function
What it the domain of the function? What is the
range of the function? What is(are) the
x-intercepts? What is(are) the y-intercepts?
7

• Find the exponential function

whose graph goes through the points (0, 5) and
(3, 40).
8
Suppose you go to a company that pays 0.04 for
the first day, 0.08 for the second day, 0.16
for the third day, and so on.  If the daily wage
keeps doubling, what will your income be on the
30th day?
9
Finance Formula

• discrete compound interest

• continuous compound interest