A28­3NotesPart2.notebook
November 05, 2015
Algebra 2
Ch.8 Notes Page 47 Part2
P47 8­3 Logarithmic Functions as Inverses
Aug 19­6:20 AM
Logarithmic Form
x
y = b logb y = x
Nov 20­7:23 AM
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A28­3NotesPart2.notebook
November 05, 2015
Logarithmic Functions and Graphs
A logarithmic function is the inverse of an exponential function.
Find the Inverse function
Graph the inverse function
Switch the X's and Y's to graph the Log
Graph y = log10 x Write in Exponential Form
Switch x and y
Nov 20­7:24 AM
Graphing Logarithmic Functions
Graph y = log2 x
Nov 20­7:25 AM
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A28­3NotesPart2.notebook
November 05, 2015
Families of Logarithmic Functions
Parent Function:
y = logb x
Stretch ( | a | > 1 )
Shrink ( 0 < | a | < 1 )
y = alogb x
Reflection ( a < 0 ) in x­axis
Translation:
y = logb (x ­ h) + k (horizontal by h)
(vertical by k)
Combined:
y = alogb (x ­ h) + k
Nov 20­7:25 AM
Translating y = logb x
Graph y = log6 (x ­ 2) + 3
Nov 20­7:26 AM
3
A28­3NotesPart2.notebook
November 05, 2015
In class
8­3 P450 #35,40,64,66,67,68
Please put your name and class period at the top of
the homework. Also include the homework number.
Aug 19­6:25 AM
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