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l.
For each
a),r(r)
ADYANCEO ATGEERA_RAT rcilAL REY IEW WORK'HEET
of the foltowing, identi$ the domain, range, vertical asymptote, and horizontal asymptote. Craph!
=*o-2
b)
f,)=-fi*,
Domain:
Domain:
Range:
Range:
HA:
HA:
VA:
VA:
2. For each of the following, find the horizontal asymptote, vertical asymptote(s), and hole(s) (as coordinates), if possible.
You do not need to graph!
a).r(x)=ry
b).f(x)=#.
c)
f(x)-2x1fix--2
x' - x-b
HA;
HA:
HA:
VA(s):
VA(s):
VA(s):
Hole(s):
Hole(s):
Hole(s):
3. For each of the following, identiff the vertical asymptote(s), hole(s) (as
coordinates), horizontat asymptote, x-intercept
(as a coordinate), andy-intercept (as a coordinate), iipossible. Graph!'
a)
x'-3x-lo
s$)=Ti{
b) .,f(x) =
,**3
x-o,
.x- +
VA(s):
Hole(s):
HA:
x-int:
y-int:
VA(s):
Hole(s):
HA:
x-int:
y-int:
i!
ii
t-'
.
+.-
-tI
I
t'i--i--
iii
l.
For each of the following,
"--z
x+4
a).f(x)=
identifi
the domain, range, vertical asymptote, and horizontal asymptote. Graph!
\aJ+,
vorvra)'s+'^"'Lk
l!-
KF y
AtcEeRA-RA
ApvAttcEo
bi3
b) .r(x)
I
=-;+3
Jr..n6 2
Domain:
X*
rt1
-q
Domain:
Ranse:
2.
y-c,\yt
t\ * {
* 3
/
>3
tr
VA:
HA: g=-T
VA:
5
\')Lry!f"
uP3 -
y + -L
Range:
vr'4*
HA:
\)
y =9
A= -y
For each of the following, find the horizontal asymptote, vertical asymptote(s), and hole(s) (as coordinates), if possible.
xLxlo
HA:
,*l
^0n<
vA(s): 1OYY
Hore(s):C\
)
t
z3
S\
HA: Y a O
--/f=l
C',-t)-
/ =Z
vAg):/
=J
HA:
,l= -9
Hore(s): (
b, )Lr)
'
VA(s): X=O
Hore(s):
L-2. l)
3. For each of the following, identiff the vertical asymptote(s), hole(s) (as coordinates), horizontat asymptote , *-i{t"r""dt
(as s
a'coordinate),
e\rrrf srrfarsr, andy-intercept
.Ltlrt rtttLetrJcpr (a1a
uuut rrtu4tt._r, if possible.
posslglg. Graph!
\rrapn!
t\ a coordlale)
I
-lr
r" ' x"+x-6
Lf\(x-z)-x-a
.f,ry1
Xr>
x+5
L
.L -,
- t/ ,(-'1
l0
VA(s):
X,
= -5
(9 ,4r>
FIA: Y=
llole(s):
I
x-int:
y-int:
(-7,
[p
O
,%)
)
VA(s): )(. '.'
Hote(s):
Z
(-7, -k\
ffi: l=O
x-int: yl)w-f-.v-int:
I o 1-lz\