tt; &*$
I$tr
/'\;
h
**-) l"-i L""
t"7
.
t
ti
6;it"\
I
'.J
1. Jaxton Supplies has weekly fixed costs of $800, variable costs of $2s/item, and his daughter get
S1Q/week allowance. Write a cost function representing Jaxton Supplies weekly cost function.
a
C=$ +frx:
C= 8oo+ 25
2.
x
r
Peach Tree Farms is willing to supply
bushels of peaches when the price is
bushel. Tom'sLocalGroceryiswillingtobuy
. What
bushel over the interval (0,151
x
P:l5x+
bushelsof peacheswhenthepriceis
is the equilibrium
f ; l5x+fo
quantity? What
50 per
p=-5x+80
per
is the equilibrium price?
ISX* Sor ,*5x*Eo
3o
20;c
V
t.5
b.Arlhetl$
? -5;+go
I Jr? *16
X.lJh ?Cx,ttXx:q)
x<*4
x+4 "
I
I
xf4
3" Find the dornain CIf /"{") : S+3, -4sx<5
I
J
lagn{e"**l*}, "K}5
I
{v rB
t
x fLf
X+3 Zo
xL *31 *- 4ix4s
2v* tb >o
U.> tt)
x>5 ) xe5
z x-*4) x€'-4
*{1
t-
5
crs?*q)\3Lg r:r ) u(S.oo)
4. ldentify what type of function is listed below: {lf not a function, state: NOT A FUNCTION}
n.
e. 3, * 3x: * 5x * 2 +\'tAd e dJt'c''
y=sr coY\sto.Y\t
-x" ?Ij.l ratlonrr^2
b"
{-"
d.
1;_
,v*
= lag{x + 1} * iog{"{
\o
-:r:4o
fitb
o.
*
1}
Sarerhrn
F*t*tforu
f.
y : l:"r *
l:l
(Lb s o\.r"[ e, V oil{rc,
s. y*iS+3? gtrbg "noot
h.
.Y
:
fT'g''
[,rn q, i!..r. $ r^", eti tntu
-of
3on?ttont 9**c{tdvr
5. Write the equation of the function formed when y = rt
6.
Find the oette*
tgg
{+tl*5x+8
of t = lffx?
r,E[i:!rts, reflelfllbottle
.(X_Z\"
\= y"
axis,andmovedup4units.
LL-a\)3"\Jo5\-J
b?- -(:c-
is
c
€.J'
fu*-}. 3 :kq) = 5q
zo
2A,
2U o)
fi r g(t) = o (hj,- s(t) *B rr
@
Katy's Kennels has daily fixed costs of $250, variable costs of S10 per kennel rented, and rents each
kennel for $35/day. How many kennels does she need to rent each day to break even?
7.
0 z 2So + lo.K
Q= 35N
{;c
SSX?* lsfi
L
lls # r$ l(etrnsls .t\tnfcoL
(o HtnnLtS
r ?,So
2-5Y,3 2€O
H= to
Solve:
a. 8' .4t*1 *
16
Gt'(d)'7x #qg-
2
b"
\of
"'
cq
1*s{**?}*tos{*} * ?
[oT st3) =/
t5} = tr+z"
'f
(--
X
tS$X
5>r-L54
X+-?-
3qx sL
5x c(n
9.
€^
Find each cf the fnllowing limits {if they exist}'
a. lim
1
tv
.r*+3 X - 3
DNg
J"
o
b.
lim
;r-+4
firi*
x-+el
x*4
"/X -
2
dx
-z-
c.
[d^
{-7r+
lim {"t * 4x + ?}
-s*+ *1
-(tf-4ttrrt
ttlT -z->
, ({Tr
+4*6
l_
u= _fX_Zf
E l+4
+{
=(g
d. limj'
#-+
l+"*il, x<3
tt"' * t,
e. lirn
x>3
[+r*ll, x<3
f. ;;l'
lim {
lZ*n*1, x>3
24
.x--+5
a€j*r
'l
2'q t
tgrr *@
(s)-r t? 4
te-ilsc
I
J.0" f,valuate
?'l*}
/{*} : x
X
-L
-s.s
f{x}
O,5
o-5
Use the chart above
at each of the following points; {Round answers to two decimal places.}
-0.5
2 o.51
ts estimate the
::ll
**.3.
s
o,&rl
DHE
#
0,5
0.1"
. tlt
,Zg
-qb
t
x+4'
Y,t--4 *
r<S
x+1
-t
fi<x<2
"f{x} is continuous" "ftx} = Tt
x,+ L
x+1
t.r-kg
11-. State the intervals over rvhich
tLrrJ.L
1
@
x+2
chec.r+ g ndps
0.$
L f,ty-'?o"t*W'L
Lt*t'
x>?
x'+-'2 rnnt ui\dtY6aA"
oZxa7
X:tl
)
not uh d".oAA;'/
x72
}t,ulr-? A:x-?D ,11 n/z {"qrrol ;'.oonfr,ntrotr-i
Z \ 1+ t/4
JIAJe-a a-5 x>
lu^Ar
b
a3 x> 'L) ,t+
1?. Find the values of y' such that
3A,.
3)
2x+.[, x{S
i*'- *4x*?,
/tx) * { t{*t
0<
Nof eq\aA :, nst
A^J- >< 6- 2* rk
x<2
is contlnuous GVer the set
cc>ytttnrlDu,E
of lR .
l+'- 7, xb?
I
L
!\IAfr-
L os X ->i-, "'**TY+l+-{-
Sa,nn vcr]a,.*-
L)
+l
"?
4-{
zY-+l-'7
,fLhl*-3 e3 x+ { } *Y*2
Ayz*4 l-+??l wlv-'v\*lne- VaJ*^l got A a'
A,rl - 8,, +L =
3
0O
I
4A
cF
(a"*
4P< ?
t
rl'
ft= ql4
X aro
pNg
$tl+FD?
3.3. Find the difference quotient
for
1--'
/{x) * x*?
,.|
.
xrh-z
F(x+h)-g[x7=-l:
'Ilft-z--'] -?x-z
\G+2r) *rQ*fh'--t
G {-h"-z)(rth)
l^r,
*-t
G+h-?)St-t1)
14. Find the hcles in the graph of ./{.x}
*
ftx)"
'Marsl
rX"+ t)
2v*l sd
2-x=1
15. Find the accumulated amount in an account in which $2000 was deposited for
annual interest, csmpaund*d
5.!!$ 1-V Nl.
s%
Na sa( t5)
15 years at 5.25%
E%' 5,25
Pv* *2pao
o
Petr;
'FV eL:]
E
$ 4eql\.
?yY3'5z
clf z 5e
16. Find the accumulated amount in an account in which 52000 was deposited for 15 years at 5.2%
annual interest, compounded continuously"
A : pC.b
,o5zt l.5)
fi= 2-ooo g
D.x8
2,croo
e*
A?
A= Sr\ A 6Z.q ti
oq
17. Given: J"{x}
: rt - x t
fr. find th* average rate sf change sn the interval [*2,'tJ
.
hnz j3:-Q- '=
tL-z)24+L=b Gz.b)
Ft*tf =tb*q#tZ Errz)
1*k4
|*-'o
(s
U
b. find the instantaneous rate of chang* at x = *?
-
zuh*\^f *Qctht)
= Xt +Zxh +-Lf - X --\'^t
$trfh)-.${x)' Zv-h +hz *h
Stx+t-r) E
Ft,
rr'\
tr;
',-Str)= 2x +h *
$/(-z)1€it1
(
,tt'
,[.*,
h*+o
c.
Find the equatlun of the tangent to the cur\re
L- 2 )c ) FDr-rnt
Wo
"-
g
f{x}
at x = I
U* V,e nrt[v*x t)
t krt
LA.,- (s,=-SCX
61rr C{,A.hUq*,
S\,lncr-
$'02-)r-$
b.*(d;
#€S LYt")
* -;fX*tO{-fu
L4r---FK*4
lS" Given the graph of _f{xi below, where
does the derivative fail ta exist?
0,
u_.
. d-oet $oL ex tst
&L
et-'
CofnLr Df Ct..r5p
b' dou$ flot gxt*t 0'f
S-t
o'-''
n"tl
l'
c, 12r h oLs t^^ {ha- 3
<lre vt-rit'
&, c[m I hob eu^r S*
t*,
enf
l^/'n'tr'