pre-cal 40s slides november 5, 2007

18
Logs R Us!

Upload: darren-kuropatwa

Post on 06-May-2015

571 views

Category:

Technology


0 download

DESCRIPTION

Transformations of exponential functions and the definition of a logarithm.

TRANSCRIPT

Page 2: Pre-Cal 40S Slides November 5, 2007

1. Find the domain and range of ƒ.2. Find the horizontal asymptote of the graph.3. Find the x and y intercepts of the graph of ƒ if there are any.4. Sketch the graph of ƒ.

Page 3: Pre-Cal 40S Slides November 5, 2007

1. Find the domain and range of f.2. Find the horizontal asymptote of the graph.3. Find the x and y intercepts of the graph. of f if there are any.4. Sketch the graph of f.

Page 4: Pre-Cal 40S Slides November 5, 2007
Page 5: Pre-Cal 40S Slides November 5, 2007

Rewrite each table of values for the inverse of each function ...

Page 6: Pre-Cal 40S Slides November 5, 2007
Page 7: Pre-Cal 40S Slides November 5, 2007

Rewrite each table of values for the inverse of each function ...

Page 8: Pre-Cal 40S Slides November 5, 2007

Then, sketch the graph of it's inverse ...

Let's see 2^x

Page 9: Pre-Cal 40S Slides November 5, 2007
Page 10: Pre-Cal 40S Slides November 5, 2007

b ca

= log bc = a

b is the base b is the base

a is the exponent a is the (exponent) logarithm

c is the power c is the (power) argument

A LOGARITHM IS

AN EXPONENT

Page 11: Pre-Cal 40S Slides November 5, 2007
Page 12: Pre-Cal 40S Slides November 5, 2007

Write as exponential expressions:

Page 13: Pre-Cal 40S Slides November 5, 2007
Page 14: Pre-Cal 40S Slides November 5, 2007
Page 15: Pre-Cal 40S Slides November 5, 2007

Solve for x:

Page 16: Pre-Cal 40S Slides November 5, 2007
Page 17: Pre-Cal 40S Slides November 5, 2007

Solve for x:

Page 18: Pre-Cal 40S Slides November 5, 2007