FUNCTIONS EXAMPLES
1 The
depends
affiance
in
A will have
a
a
pg
the
on
larger
Egg
area
of
a
circle
than B
same radius
not possible to have two circles w
vertical line test
having two different areas
formula
A
A
2
The
is
r
1900
3
The
cost
A
C of
The
the
measured
noticethelanguage
on
1800
can
year
points
mailing
an
left
input
by
tippet
time
4
input
Tir
function depends
I
have
input
two
envelope depends on
w
of
the
package
of
acceleration
vertical
on
one
data
population
function
4
no
A is A
area
and
formula can be
1920
19 10
that
r
P depends
millions 1650 1750
of people
note
r
function of
Tire
a
Efpopytion
year
radius
relating
the
function
ground
as
SO
WHAT'S A FUNCTION AGAIN
DEF
A function f is
X of a set
called
f
x
that
rule
a
or
in
a
domain
set
or
assigns to each element
D exactly one element
range E
DETERMINING DOMAIN EXAMPLES
R
Rt positive real numbers
1
Alr
x1
x
t
03
builder notation
X 1
x is such that
set
Most
functions studied in this
of real numbers
collections
class
are
concerned with
NUMBER COLLECTIONS
tigers
rationals
natural
N
numbers
z
I I
IQ
2
y
n
m
o
e
0.1.2
I
Z
n
certain
YEE's
335
there
2
0
be
ex
A
great way
functions
its
is
graph
to
visualize
investigating
with
domain D
are
elements
T not in Q
f
x
Example
I
x
x
ED
T
fit
1
e
xx
i
t
ay
We
the
can
read
height
the
or
value
value
y
Example
x
of
of
f
by looking
x
the
graph
Y
7,0
I
6
1
at
X
at
fl 1
f 6
Evaluate
a
b
what
and
the
is
X1 O E
0,7
x1 11
domain
domain
hard
brackets
while
I
value
range
on
values
The
l
Soft
of f at 1
of f at 6
value
of f
range
Recap
The
3
1
3
is
1
7
x
233
3
I
invade
AND
reverse
brackets
brackets
is
end
brackets
don't
Example Find
I
1
the
x2
x2
x2
x2
x2
domain of
cannot
than O
less
be
f
x
Therefore
20
2
1 I
x1 11 21
domain
Trick for remembering how to determining domain from inequalities
less ELAND
greator
1 domain can be
if
we had x2
be
described
can
above example x'El
x is greater than
described as
i
as x is between 1
and
less than
I
E
1
Of course
be mindful that domain includes l and l
though
Example Find the domain of
R1 03
domain
l
Remember
divide
by
o
O
V10
you can't
0
glx
o