Solvethefollowingexponentialequations 1 exsolvefort

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Unformatted text preview: reflecting
 appropriately
the
basic
graph.
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3 Ex:

Sketch
 y = 2x , y = 3x , y = ( )x , y = 4 x 
on
the
same
set
of
axes.
 2 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 How
does
the
change
in
the
base
value
affect
the
shape
of
the
general
look
of
an
 exponential
graph?
 
 
 
 
 
 
 Properties
of
Graphs
of
Exponential
Functions:

Let
 f ( x ) = b x , b > 0, b ≠ 1.

Then
the
 graph
of
f(x):
 
 1) Is
continuous
for
all
real
numbers
 2) Has
no
sharp
corners
 3) Passes
through
the
point
(1,
0)
 4) Lies
above
the
x‐axis
which
is
a
horizontal
asymptote
either
as
 x → ∞ or x → -∞ 
but
not
both
 5) Increase
as
x
increases
if
b>1,
decreases
as
x
increases
if
0<b<1
 6) f(x)
is
one
to
one,
that
is
intersects
any
horizontal
line
at
most
once.
 
 
 
 
 
 
 
 Solve
the
following...
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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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