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functions summary
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The document is a summary of gr11 &12 functions
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Y-hisnel-ieo.msDefinition ; a rule by which each element of a first set , the DOMAIN ,
is associated with
only one element from the second set ,
the RANGE
for every K -
value , there is one y
-
value
ertical line Test
used to test whether
something is a
function or not
1.) hod ruler y-axis
parallel to
2.) ruler
move across
graph
3.) if at
any point ,
and the ruler only touches the graph at one point ,
it 15 A FUNC 110N
Graph type
'
correspondence Function ? NB this table
straight line
NOTE ; a y value
-
can have
one
-
to -
one YES
many x -
values
e.
g flat b
=
BUT
a x value can only have
-
Parabola one y
-
value
to one YES
many other functions
- -
b
g (a)
=
exponential ; one -
to -
one
(c) =D
g
hyperbola ; one -
to -
one
Horizontal Parabola
A is function if
graph a
to many NO it is
one many / one to one
- -
- -
h( a) = c
h (a) =
b
circle
Reflection
K -
axis ; y s -
y
many to
many
-
-
NO y
-
axis ; x s -
x
line y=x ; (x ;y ) sly ; >c)
Exponential Function Exponetial laws Rules
Domain = KEIR 1. 1 am .
an =
am
+ n
1.) Yan =
a
- n
( a -1-0 )
Range =
YECO ;D ) 2.)
am
/ an =
am
-
n
2.) kin = an
NO k -
int 3.) (Clm )
"
= Amn 3.) ☐
0 =
1
(§)
ao =L for all
=/ %)
y int ( o ;D 4.) Cabin ambm 4.) n "
-
-
= • =
( a -1-0 )
K axis is horizontal asymptote 5.) am (b -1-01
(g)
a
-
m
(b -1-0 )
bn
rain Fr
function
=
is one -
to -
one 5.)
n =
☐
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