Chapter 5

Procedureforfindingtheinverseoffxor f 1 x inthiscase

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: e ≈ 2.71
 
 e
is
an
irrational
number
which
is
approximately
equal
to
2.7182818284……..
 
 The
base
e
is
sometimes
easier
to
use
than
the
other
bases.
 
 
 Graph
 y = b x , b > 0
by
remembering
the
general
look
of
an
exponential
equation
 
 
 
 
 
 
 
 
 
 
 Domain:
 
 Range:
 
 y‐intercept:
 
 x‐intercept:
 
 Asymptote:
 
 
 
 
 Think
of
the
base
b
as
the
constant
e.
 
 Ex:

Graph
 y = e x +1

by
specifying
the
domain,
range,
intercepts
and
asymptotes
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 How
do
we
define
e
to
be
2.71828…….
 
 
 1⎤ ⎡ Let’s
investigate
the
values
of
function
 f ( x ) = ⎢1 + ( )⎥ 
as
x
gets
larger
and
larger
 x⎦ ⎣ 
 
 x 
 1⎤ ⎡ f ( x ) = ⎢1 + ( )⎥ 
 x
 x⎦ ⎣ 


 
 10
 
 102 
 
 
 103 
 
 
 104 
 
 .
 
 .
 .
 
 .
 .
 
 .
 .
 
 .
 
 107 
 
 
 
Observe:

As
x
gets
bigger
and
b...
View Full Document

This note was uploaded on 02/08/2011 for the course MATH 3 taught by Professor Staff during the Winter '08 term at UCSC.

Ask a homework question - tutors are online