Last Name:
1.)
2.)
3.)
4.)
5.)
6.)
7.)
8.)
9.)
C
_________________
12.)
‘rae-
13.)
3
~US
14.)
J°je
c’≤e
15.)
~g
Tr~te
16.)
__________________________
__________________________
_____________________________
Poise
___________________________
(7)
1c3e(7)5
ri
17.)
IeO’1)~f
±4
___________________________
3
18.)
8
a
___________________________
JO,ooo
__________________________
%
10.)
11.)
First Name:_________
19.)
20.)
e3-i
-/
34’IV
2
21.)
S
________________________________
22.) p(x)
23.) r(x)
-I
0
I
3Sf
—I
0
3Sf
24.) e°
25.) 1og~(x)
/
26.) ea~+1
27.)
28.) f(x)
29.) g(x)
—
log6(x)
Zf
a
a
I
izi4~
It
-If-a
0-2-4
•1’~
4.
Third Exam
For #1-6 write the entire word “True” or the entire word “False”.
1.) log~(~)
=
1og~(z) + 1og~(w)
2.) log~(~)
=
1og~(z)
3.)
1og~(zj
4.) ~
=
—
1og~(w)
wlog~(z)
=
5.) (aj~
6.) awaY
=
=
axY
* * * * * * ** * ** * ** * *** *** * * * ** * * * * * **
7.) Write
31733—1763
as a rational number in standard form.
—z
173—17≤+i
3
I,
~3
z~r”y
8.) Write (4~ as a rational number in standard form.
35,
9.) Write 1, ooo~ as a rational number in standard form.
Qo
10.) Write
i0~~ 10200
(~)~1
as a rational number in standard form.
/~,‘N2
L2)
9,,-’
11.) Write log10(100, 000) as a rational number in standard form.
j5(,0S)
12.) Write log3(
g
é) as a rational number in standard form.
}o5~(3)- _3~
13.) What is the greatest integer that is less than log2(13) 7
0
50
14.) Solve for x if e~’
=
7
z~ Io~(7)
15.) Solve for x if log4(x) =
(Write your answer as a rational number in standard form.)
—~
~
16.) Solve forxif2+e~4~5=9
e”~5= 7
• x•~
t~
17.) Solve for x if 41og~(2x)
=
8
e
)05e (2x)
2x~e
18.) Solve for x if e2X+l&*3
(2xtJY(x+3)
=
11
zil
of!
(I’)
Jo
3
19.) Solve for x if 1og~(x + 8)
1oj~(~a)
-
=
)o~~ (x)
3
-r
S
r
e3—1
3 + log~(x)
x
=3
20.) Find a root of x3 + x
~2:
I,-/,2,-2
is
I
;s
21.) (2 pts.) Completely factor x3 + 2x2
3
2x
—
1 (Hint: 1 is a root.)
Prscr~~a~~t 0S~
32tf(,)(~) =9-’t-~S
2-2~
I
3
—
1:0
so
~
3~I5’
r
two
roots
a
2
(;‘~-i)
(.~.a÷ 3x~l
2
)
if
‘
22.) Graphp(x)=4(x+3)(x—2)(x—2)(x2+3)
X-Ih+: ~-3 2.
bata~ -3 ~4 2 : p(o)t.+(3)(-zk’-Z)(s)
)eVt-ovJ~j\it~ ‘Li!
23.) Graph
vcrt a~ym
.Z-;nt: —2
hi
~‘O
Z
>~ r(x)
~
lJt:
=
-
Lf-~
________
_____
~
___
24.) Graph cx and label its y-intereept.
25.) Graph log6(x) and label its x-intercept.
26.) Graph e2’ + 1 and label its x- and y-intercepts (if there are any).
27.) Graph
—
log8(x) and label its x- and y-intercepts (if there are any).
28.) Graph
f:
(—1, 1]
29.) Graph g: [—2,2)
—+
—*
R where f(x)
2 where g(x)
=
=
—2.
x.