functions summary

Y-hisnel-ieo.ms
Definition ; 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 =
☐