Embed Size (px)
Citation preview
Section 7.1 notes
1
April 18, 2016
Unit Seven: Logarithmic Functions7.1 Characteristics of Logarithmic Functions with Base 10 and Base e
1. Use technology to graph the exponential function .
2. Complete the table of values for .3. How can you use this table to create a table of values for the
new function ?
4. Sketch the graph of on the same axes.
5. How are these two functions related? What is the connection to the line ?
6. The equation of the second function, , can be rewritten in another form called logarithmic form: or
.
y = 10x
x y
2
1
0
1
2
x = 10y
x y
Section 7.1 notes
2
April 18, 2016
Exponential Logarithmic
Domain
Range
yintercept
xintercept
Increasing/Decreasing
End behaviour
7. Compare the characteristics of both functions
Section 7.1 notes
3
April 18, 2016
. Use graphing technology to graph the following functions and match them with those provided on the graph below
A: B: C:
D: E:
Section 7.1 notes
4
April 18, 2016
. What is the effect on the graph of if if ?
. Does affect the xcoordinate or the ycoordinate? Is this a vertical or a horizontal transformation?
. Which point is easily identified from the graph?
.Which characteristics of the graphs of logarithmic functions differ from the graphs of exponential functions?
Section 7.1 notes
5
April 18, 2016
Use technology to graph the exponential function .
. Complete the tables for and .
y = ex
x
2
1
0
1
2
x = ey
x y
Section 7.1 notes
6
April 18, 2016
. Sketch the graph of on the same axes. How does it compare
to ?
. The equation of the second function, , can be rewritten in another form called logarithmic form: or
.
Section 7.1 notes
7
April 18, 2016
Exponential Logarithmic
Domain
Range
yintercept
xintercept
Increasing/Decreasing
End behaviour
Compare the characteristics of both functions:
How do the characteristics of the function compare to those
of ? (i.e. Does it matter if the base is 10 or e?)
Section 7.1 notes
8
April 18, 2016
. Match each function below with its graph
A:
B:
C:
D:
