3wewillbe

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Unformatted text preview: e
logarithmic
graphs
from
their
corresponding
 exponential
graphs
by
treating
them
as
inverses
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Ex:

Sketch

 y = log b x 

where
b
is
any
positive
constant
by
specifying
the
domain,
 range,
asymptote
and
intercept
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Note:

The
domain
of
any
log
function
is
 ( 0,∞)
i.e.
only
positive
x
values
 
 ⎛ x − 2⎞ Ex:

Find
the
domain
of
 y = ln ⎜ ⎟
 ⎝ x + 3⎠ 
 
 
 
 
 
 
 
 Ex:

Find
the
domain
of
 y = log( 9 − x 2 ) 
 
 
 
 
 
 
 
 Ex:

Graph
 y = − log 3 ( x − 2) + 1 
by
remembering
shifting
and
reflecting.

Specify
the
 domain,
range,
intercepts
and
asymptotes.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Ex:

Decide
which
quantity
is
larger?
 
 
 
 
 
 
 log 2 3 or log 3 2 
 
 Remember
the
conversion
equation
between
log
and
exponential
equation.
 
 
 
 
 
 
...
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This note was uploaded on 02/08/2011 for the course MATH 3 taught by Professor Staff during the Winter '08 term at University of California, Santa Cruz.

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