)
1x+-1.
.fot ' <-2J
1) Graph
Zt zl*3
|
jjr, f:
J
-q
?
-j..3
f
(x') =
1l
- --r
1
fo,
a
for:t>2
-'). < v < 2 and find the fbllowing..
) -a) u (-2 ,d
[sJ
iT,*],|*,8)u
c. f(4'):
I
+L{,) =,l1t/).*3
u. domain:
(-
'Y
o,o
f(-o:-l
f(1):'l*
e.
d.
I
l+"+j rN't-t-Z
*l -\tl-:^L
= 21+)+3-rr
z
+3 3
P(-G) -l
f. increasing,l-r., o)
g.decreasing:(O1C)
|(r)' itrf
h. constant:[2re-)
i. relative max:D.N.E.
j. relative min:t.N'€
t{D = -itn
2) Describe the transformatic'ut: r,"rid graph .i {.x'1:
&
"'a ,n-
'-i
-"Zf
t*
Pt+)-I
mv)"x,1:
,,
3) Are these relations functions? Wh),?
a. {(2.-3).(5.-i).(8.7)"{1', -i)I
{2'T
**.
$ta is {ra^^s$r"^"1 h!,r) =xt.1
L sriQl'1 h"}u^ Ltq*r 1-*'*
],
;;''1','--a'-n\'rr^-*
*".\s
s) sr^;{+'\-*P 3
inq. ::*
2' Mr-Lt*L)'
I t-
ft..
-""-t
t';
l,
I
"*'\'
b. 2.r2 * 3y' = 5
lril,+- 1",1,v
t6r"s
.lL
nvar{ic*J
lri-r .I<st.
hr / (x): 3.tr' - 2x + 5
l(, *tn) - Pr') ,h+r:
4) Find the difference q,-lotient
.
0xh+3h
k
\
e(x+r.,)'-zc*,t^)
h
*r *I-zr*i
S(xttZxh*h') -7v
Orh *3h
-2h-+ 5
:
**z +zt- f
5
'-2\
=
5) Determine if the grapil of./(.,:l ,.. l;s6 -- 5xr is even" ,odd. or neith*r. Describe wliat it means for a graph
to be even or
-y>. -- 3t-x)L - S(-E)r
ocld.
iA"
$t
= 3*b
+(-Y)
-b*\
'r
--
a. The domain
c. (.f
-
:,0-to
=
XFS*o| x-ro*o
I
x'
+ 3x2
&-[-0-
r'.-'
;6,i'l'"
;6,i
-2x -7
n*A
fr,^^n^-b+l,-S
5
anr-i
(r)
E
l(*e)
:
---'
-r>o
"r,@
)c-5+^lx-7
X-S','|fi
- g)(x) and its donrain
:Ef
b)Cnr*)
r..)
fa'f u:(r,*)
I = 1l'-- 4
f (x) =x2 and g(t
f(x)=xt
L*r*)
of
a. The domain
,.--i
h1x7
C.
5x
e
.- ,l-^ n,-n.71LJ+*th-.s
?-'-l
,'t
**,+
^-Y^f:
rtsP(cf *o't+'r
-\.
Y48
7) For Given .f'(x) = x *
8) For
\
*+u or
*,f.+'aoer{"*
;+r :J#
.$"+t-Iff.'t
d"+tL^ktttl^
iollou'ing...
ul:'i =
C*, Y]
'
\-4rs'^-
t,^-hi^
-Ez!
-(
C^''f,l^
"lllt^
hrs til". e4rr^rn-c\
dU
EVENJ
6) Find the domain of tlie
*
. g)(.x) arrd iis donrrtn
.- 1^.Pt71'"
"[ +?ga;t)
(
Y;;"4
b. The <iornain of
f-'l 20
S
-
f. tg" f)(-2)
and its r-loi.raitt
':
9) Express the functron
Ptr)
-:'
"* )
10) Given this one-to"ol,.:
(x)=(x-"1)o
flltri:iil:l .f(r)
youfound. q:)c+r/
"
t
P(*) =
find an inverse tu rction f
qo-',i=/
w:*t\
Jtr)
-'(*)
-'('))=
Fte
'?
3v '- \+'(
-tl { "l
r
e
-ffil.\=tLr{b@
3ri_-(#)
=3
: !-:!
&
f7
rfcriPqi sh..ow{+-f
J -_l\
lx_.|
,-r il (.o,r-rositicrr.r,'
: x-1
and verify the inverse function
x qg P*(ft"))=v
+"(pr,\ , $(Y)-,
=x@(b
P.(Fr-rlx
\
t
0
i.,rJ
P'[t)
6v'".-lw/t'r.tcs '