Chl 1
Functions
Models
1 3,7 9,11
17,21 31 33
37
47 51
41
43
due
Functions
we
and
are
Wednesday
at her next
Basic objects
will
work
they
are
with
everywhere
function
4
Eg
Let
35
f
height of
a
person
time
variable
So
A person's height depends on
time
written
is
as
f
f
f
height
is
Intinf
time
Note
time
not
function
of a person
is
Fortin
x
a
Def
A
function
f
a
set
a
is
a
to
0
map
to
from
set
E
which assigns
every
ectly
element of D
one
element of E
D
Es
f
f
D
OK
NOT
fisa for
a
Minf
D
To
visualize fus
Function
f
Better
Gehs
Eg
f
height of
time
aperson
f
Range fix
Roff
fdi
f
f
to
dies
Born
Domain
of f
to
is
to
x
of
to
to
interal includes
all
to
Range
R
of
Betwer
to and
including Boundaries
a
function fn
the subset
is
f
I
Let
find
where
to
maps
f x
1
1,2
for
Q
E
of
and
domain
values of
range
2,3
funcher
values
yvariable
A
Domain
is
E 1,2
To
f 1
1
1
0
f
2
1
3
2
Range
0,3
is
square
3
Let
are
f x
and
as
included
1
1,2
for
Q
Brackets
find
and
domain
values of
213
funcher
it
i
range
variable
values
of
1,2
XE
is
as
same
2
1
4
A
Domain is
2
not
included
is
E 1,2
so
f 1
1
f
2
2
Range
is
1
0
tis not
defined
at
0,3
included
3
2
not
included
Convention
If
domain
of f x
is
f is
defined
Find
EI
range
not stated explicitly
domain
α
where
and
of
fat
Recall
all
1
infinity
is
not
a
number
Domain
all
So
we
of
f
is
X
1
except
write
Domain is
f
1
011,0
cant victide
I
as
I
Icant include
do
they are
not numbus
of f tends
to do
rf x h.cat
1
Ixfe
T.it
f 2
1
f 4
3
flo
1
Range of
is
f x
2,0
Q
U
d
o
union
Here
are
some
graphs
OK
ok
as
for every
y.net
NOT
decide
AgraphI.li
gEhhtm's
goes to
How
is
you tell
can
a
graph
if
of
a
a
graph
well defined
function
Iilletest
A
how to
decide where
is defined
as
in
x
y plane
graph
if
no
vertical
it
twice
A
curve
is
a
line
f fix
intersects
Graph of
FX
Is
a
fu
graph
fails vertical line test
not
a
as
for
it
all
so
Note
If
then
either
Y
F
y
X
or
y
square root of X
EI
We
can
get
y
X
Tx
I negatice
square
root
to
Be
a
graph of a
fu By restricting
A
Y
Tx
with
x
y
is
Tx
graph of
y
This is
Tx
Y x
graph of a fn
yex
Fx
YEO