Ju.} o.J~ J5' ~\. 10g8 [(4x + 2)3 (X - 4)] (10 log, [(2X) 3(x + 1)] (9. 4. (x + 1)3 log. 3x. (11. 10g2 )~ (12. y x + 5.
Original Title:
Precalculus ©2011 &
Algebra 2 ©2010
By:
John A. Carter, Ph . D Prof. Gilbert J. Cuevas Roger Day, Ph. D Carol E. Malloy, Ph. D Luajean Bryan Berchie Holliday, Ed. D Prof. Viken Hovsepian Ruth M.Casey
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CONSULTANTS Mathematical Content Prof. Viken Hovsepian Grant A. Fraser, PhD
Arthur K. Wayman , Ph.D
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0
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11
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Gifted and talented Shelbi K. Cole Mathematical Fluency Robert M. Capraro
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L I ~ I ~j..tJI -,-:,,- (y .l~
Reading and Writing Releah Cossett Lent Lynn 1. Havens
• .l
Graphing Calculator Ruth M. Casey Jerry J. Cummins Test Preperation Christopher F. Black Science/Physics Jane Bray Nelson Jim Nelson
www.obeikaneducation.com
www.glencoe.com
•
Education
Eng lish Ed itio n Copyrigh t © 20 10 th e McGraw-Hill Co mpa nies. Inc.
All righ ts rese rved.
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lj....uIJ
1- 1
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(..., -2, -1,0,1,21 (1
x > 8 Ji x < 0 (4
x < 3 (3
: ~ ii x J
;Jb
r
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Y ..:-;!S 1~ 1 t, ~..L>
'';4 ~ ~~ J5 J
~ 4.:..... y J OJ ~\ ~.) ~ J x ~ (5 (6
(7
x = 5(y - 1)2 (9
j(n)
= -3Vn2 + 9
3x (8
h(x ) = x 2 - 8x + 1 (10
(11
j (4) ( a
h(-l)
(a
j (3a ) (b
h (2 x)
(b
+ 8)
(c
j(a
h(t ) =
+ Y=
- x
+ 1)
h (x
(C
2t - 6 (13 t 2 + 6t + 9
g(x) = V-3 x - 2 (12
3x2 + 16 , x < - 2
Vx -
j(x) = {
2 , - 2 < x ::; 11 ;J \..illj( l1 ) J j ( - 4) ~ J\ (14
-75, x > 11
4
J I~..u 1
J.:..I-:o-.J
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~; j
ii
~ Jj
;;J\"'ul
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jb.. ~ , ~~ g (x ) = -J, ;;JI ..u1 ~ ~L::) 1 ~W I ~ I \
X"
. lft ~ YI.W ~ ~;j) ~Jj ;;JI..ul ~L5 \ ')U . ~~ ~ ~l if ~ ~ . dJ .) ~ ii
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j(x)
j (x)
=
2
x
x+1 ; + 3x + 2
JI,; , ,-?jJj , ';~ )f :JL.a;)f1 i~ tj ~~ ' ~ .r.? ~1..u1 ..:....il5'
= x+4 x- 2 ;x =-
4 (2
= -I , x = -
2 (4
X
g(x) = x 4 + l Ox - 6; [-3,2) (6
j(x)
2 2 ; X 3x
=-
j(x) = x 3
-
-
2x
j(x) = x 3 + 5x 2
-
= -1
(1
+ 2; x = 1
(3
4; [-6,2) (5
: ~~~ ~~1 .J~ ~ \~~I ~ J.;b ~.,L ~) ~ ~\'I ~I..ul.:.r ~ J~ \ ~I J-.:--I 1 I
If(x) = x
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4x 5 4
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g(x ) = x 5 - 2x 3
~f(x) = 5x .l. L..
y
+ 2 x~ ,7 "
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x 0
I I
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. ~~~ ~~1 jjs. ~ ~ i..5~1 ~I tf ~J ~ ~~ I/ (x) = x 3+x 2 -x
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g )(x), ( f· g )(x),
( ~) (x) ~ j i :~l:J1 Jlj..lll
f(x) = x 3 , g (x ) =
f( x)
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= 2x 3 -
= 3x 2 -
VX+l
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f(x)
3x 2 + 1 , g(x ) = 3x (4
f(x)
1
= x + 5 , g (x) = x
- 3 (3
= 2x
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= 2x 2 -
5x + 1, g(x)
f(x ) = y x - 2 (7
f(x ) = x _ 8 (8 g(x ) = x 2 + 5
[f 0 g]( x)
- 6 (1
f(x)
2x + 5, g (x) = 2x - 1 (6
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1
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3 (10
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(210 )'"' + 8 (15
216'-3 (19
+ 8 (22 c.r ~ ~...Jif~ ~ m ~j..u~ . \ ~ -'~ \~ LA .:l ~if~ \ ~U~j.:l4.5~;~) or
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14
- --
-
-
-
-
2-5
log, (4x - 17) = 5 (2 logs (-6x) = 1 (4 loglo (x - 5)
log .,
U
= loglo 2x
(6
= "23 1ogIo4
(8
10gB (X 2
logs (-6x) = 1 (5 log? n =
10gB 48 - logs w = logs 4 (10 41og2 X
+ log25 = log, 405
(12
log6 x
+ 3) + loglo b =
loglo4 (16
log) (a + 3)
+ log) (a + 2) =
log36 (18
log4 (x 2
-
logs (n - 3) log16 (9x log2 (5y log? X
+ 2) = log, 1
(20
+ logs tn + 4) = 1
(22
t
(24
4) - log, (x
+ 5) -logl6 (x 2 + 2) -
+ 2 log? X log, (x
1) =
loglo (3m - 5) logs (t
+ 10) -
loglO (1'
+ 4) -
loglo (c2
-
.:i.:....... 12
:s log6 (x
loglo2 (15
loglo r = loglo (1'
+ 1)
(19
loglo4 + loglo W
=2
(21
+ 9) - 6 = 0
(23
+ 1 = log6 (7x + 10)
(25
= log lO (c + 1)
(27
1) - 2
logs1 x
:s 0.75
- 1) (36
~..w 1~ -~ j Li:-) I~ 0 \ ' J' \~'Y ~ o~~..loU ~ '0\1 \ ~ r
r
log, (x + 3) < log, (1 - 3x) (35
L,..., OJ"
r
OI 'L:.L:'
20 d 1~ ..w l ~ L.~3
L,..., OJ" 20 ~ I oh j~ ~..lY ~ dv>j)UI ul~ 1
15
(31
log., (2x - 1) > log. , (5x - 16) (33
JS ~L..a::: LA. j~ ~ ..lY 0\ j~3 'J' I~'Y~ o ~~1 j.r-bJI Lr ~ ~ r-l~ u....:::s\ .0 ':1 1 ~
(11
logs (-6x) < 1 (29
3x) (30
log, (x + 6) < log, 17 (32
log6 (3 - x)
+ loglo m =
3 logs (x 2
log? 3 = log? 72 (28
loglO (x - 5) > log., 2x (34
log6 54 (9
logs (t - 1) = logs 12 (17
log, (2x - 5)
+ 2) > log, (6 -
+ lo g69 =
(7
log3Y = -log3 16 + tlog364 (13
1 = log , (1 - 2y) (26 -
"32 log?8
log, (3u + 14) - log95 = log, 2u
log, d = 5log2 2 - log , 8 (14 loglo (b
4) = 10gB 3x (3
-
(37
- - -
",
2-6
log 101 (1
log 2.2 (2
log 0.05 (3
..P- ~ ~ J)-4 1w.J'!l :r?; wts' 1 ~1 ~ ~~ l..A o~L. ~ pH ~~)f pH = -l og [H + ] ~I ~ I :~I~I
lH + 1= 2.51
10- 7 m ol/L
[H+l = 2.51 x 10- 6 ma l/L [H+l = 1.0 [H +l = 3.16
10- 11 m ol/ l
X
X
I
, ~I (4
~ I ~ l (5
lO- s mol/L ,;;.#, (6
, t"~W~~I~1 (7
: J~l op.:r ~f; ~}1 .)1 ~L:JI ~}J ~~~ l..A ~~ J1 :i.bl..A JS j; 50 = 120 (8
6: = 45.6 (9
3.5' = 47.9 (10 2"- -1 = 82.1 (13
4 2x = 27
(12
8.2Y = 64.5 (11
= 72
30" = 50
(15
510 + 3 = 17 (14
(18
42' > 9 '
5 X' -
3
(16
211+ 1
s
5 2n -
1
+1
(17
: ..j~l ors- .:r ~r:- ~}1 .) 1 ~~ ~ ~ J1~ \?~I ~.JU.}J I ~~~ ~~ ~ .J.s ~\ 10gB 32 (20
log., 9 (21
log, V8 (24
logs 12 (19
log218 (22
S:s'.; L? J ~ ( ~.}J ) OJ" ~ ~6 .6 ~\J ~2.9 (p H ) j>J\ :i...b ~ ~)~ ..:...;t5 \ ~1 ~ ~\ ~
, ~~ , ~j~ (25
05:5; j>J\ ~ j?:" J.J~\ Wj!i
J5 ~~ J..Y ~ ~J ~ ~~ .t).>- 1000 ~ ~~ ~ L?~ I ~ l.:> i ~..t).>- 50000 J 1~ . .+~ \ ~)W \ ~J..Y J-.a:J i j )'J \ (f ) \ rS .N = 1000(2)t ~4 ~L.
t ~ N lA ~J..Y ~J ~~L.
..:...;t5 1~1 ~ ~ \
raJI O..G R ~ ~L =
...:.,J
raJI O..G (f OJ" ~ d 20 d B ~ rJ l o)
...:.,J
(26
10 l og R ~.. bU4 ~..Ll 4 L ~J~ \ o~ ~ IU~ (27 \.k.l I .!J.....>- (5 c-- _.r.r
?
e
.,j
k.H..I>- .,8i ~ ;;; Lk 0 p ~..l9 3 •..1>-13 U~ ~..L.o ~ ~ ~~ \ I U~ 1~.b L.....o 0 \j 1l00 ft/ s 0 raJ I ~.r" ..:..j15 \ ~1 · ~ L:: ? ':; 1~ 0 raJ! W .h-i ~ .;;; lbJ\ c!y .)~
24
(6
4-4
16 x 2
2x 2
-
4Y2
-
+ 4y 2 -
~I t..y~.:i.>.
8 x - 8 Y + 1 = 0 (2
3x - 6y
+2=
0 (4
5x 2 + xy
4x2
+ 2y 2 -
+ 8y + 9 =
0 (1
+ 8 x Y + 4 Y 2 + X + 11 Y + 10 =
0 (3
5x
rJ ~ x 'y ' \.S.f-'JI J .j4l- ~bL...,., ~ ~~l o.J~I:\:~ ol.6-J1 () ~ J.-;--I :~ ~.iJ1 ~j..;-JI
x y=I ; () =: (5
x 'y ' \.S.f-'JI
J ol.6-J14::.bL...,.,'p",~ x y \.S.f-'JI J .j4l- ~ ~j..;-JI ~l :U~L...,., ~l . () ~jl)lj (x ' f (y 'f -1 ' ()_ 71 (8 25--4- - , - 3
LS~\ ~ 45° 0\ J3~ t.~.L u~.r ~ ~
(x') 2= 16(y'); () = 45° (7
-/l:..h...o\ ~ ~ ~ :i..bL...., ...:....; L5 \ ~ l ,u~~1 (9
. xy LS~ \ ~ ~ \ \ ~ :i.bL...., 0~ x 'y ' 5x ' 2+ 3y' 2 - 2 y ' = 0
4-5
X
t2
= 2t + 6 , Y =
p;
2 ; - 5 S
= t 2 + I, Y =
r
f4
I
t
i
~ _ ~_ 10 I
f
_1 12
I
I I I
I I I
y
I
, I I 10 0
l-lx
~
9
e, x = 5 cos e
I.,
10 1 20 I
I
t-rO I-tO
3W
---I-I--
-t-t-t--t
--I
ii - I "I I
__ 1
x=t + 5,y = 3t 2 (4
4 sin
6 ; -5 ~ t ~ 5 (1
I
r8
~.
y=
t-
!I I T[-~
-:.410 t-
x
t S 5 (2
x
(6
x
I I
= 2t + 3, Y =
= 3 sin e, y =
t 4 (3
2 cos
e
(5
~ ~ ~ o l1-J 1 ~J~..Ll 1 :i.bL-J 1(.)~ ~I ~)I ~r.:;b L-J 1 ~\:SJ -14l- js .j .h.:-) I ~\ J-;-\ . o ~~ I J ~ ..-3 1~".., ¢~ ~I t
= 4x
x
2 -
I , Y = x 2 + 2 (8
3-
x 2 (7
t = ~, y =~
+t= Y-1 -8
=.4.. Q _ i
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s
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