Lesson 8.3b Logs as Inverses.notebook
April 03, 2012
8.3 - Logarithmic Functions as Inverses
Objectives:
Be able to graph logarithmic functions
A logarithmic function is the inverse of an exponential function
REVIEW
To graph square root functions:
1. Graph the parent function with 'a' by making a table with x = 0, 1, 4, 9
2. If there are translations (h or k) make a second table that applies any vertical or horizontal translations.
3. Graph your final table
4. Determine the domain and range
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Lesson 8.3b Logs as Inverses.notebook
April 03, 2012
REVIEW
To graph cube root functions:
1. Graph the parent function with 'a' by making a table with x = ­8, ­1, 0, 1, 8
2. If there are translations (h or k) make a second table that applies any vertical or horizontal translations.
3. Graph your final table
4. Determine the domain and range
REVIEW
To graph exponential functions:
1. Graph the parent function with 'a' by making a table with x = ­3, ­2, ­1, 0, 1, 2, 3
2. If there are translations (h or k) make a second table that applies any vertical or horizontal translations.
3. Graph your final table
4. Determine the asymptote of the graph
(y = _____)
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Lesson 8.3b Logs as Inverses.notebook
April 03, 2012
Graphing Logs
To graph logarithmic functions:
1. Find the inverse by switching the x and the y value ( ) and then putting it into exponential form
2. Make a table for the exponential function using x = ­3, ­2, ­1, 0, 1, 2, 3
3. Make a table for the logarithmic function by switching the x and y values from your exponential table (in #2)
4. Graph your second table
5. Determine the asymptote (x = ____)
Homework #20
#35)
x y
x y
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Lesson 8.3b Logs as Inverses.notebook
April 03, 2012
Homework #20
#36)
x y
x y
Homework #20
#37)
x y
x y
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Lesson 8.3b Logs as Inverses.notebook
April 03, 2012
Graphing Practice
Homework #21
PROBLEMS to complete
Finish Graphing Practice WS & Check Answers
Pg 848 #57, 58
Pg 850 #19, 24, 25, 28
(Graphs on graph paper!)
Study for Quiz
• All graphing problems
• Log form to exponential form
• Exponential form to log form
• Evaluate logs
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