Practice Exam 2
Nniii:
Instructions:
C4i’ VolIrS(1f
50
lilillUt(S
to
(0111
)
1
1(’tc
tins pr1(ti(’ exaui.
Justify cacli aiiswvr.
1.
T
12.
13.
2.
3
11.
4.
15.
5.
16.
U.
17.
18.
-
-?s
-
fC)
T
LJ
8.
19.
Vi’
9.
10.
-II \
11. - (u)
20.
H
21.
±)
-
23.
(L)
-)
1
cc:
C’
-c
+
+
RD
RD
RD
Lz
C
+
cI
+
RD
RD
True or False
For
I—s, (ollipletely write either, ‘‘True,’’
1. (1(1) +
(‘)
= (ii) +
or,
“False.”
(U
OK
2.
(.t
+ g)’ = :r” + y’
(
—
3.
‘
U+!J/+/’
.L2
4.
(:rij)”
=
5. /i= //i]
VAt,
/
\fl
6
7
8.
,r
—
+ 2
7,c + 12 has 6 roots.
—
—
,—.
)
1—-’
Algebra
!). buil x where
(
-
( — 5)(
—
5 = 10.
-
x
C
10. If q(r) is afl iHv(rtil)1(’ friiot iou. atI(l q(
) = —2. what
1
is
—
I lie value of
j
ii. Find the
ol /(:r)
inverse
=
—
3:i:. (You call check your answer by
seeing
if
f
=
7
-7
-)
2
—
_3
I
12. What is the implied domain of g(.r)
interval.)
=
—3/6r
r
—
iS
8 — 18? (Your answer should be an
Q
x
/3
>
)
13. Suppose u
the following nmiilu’r as an integer in
2 — lac > 0. Writ
0 and that b
standard fonn:
a
(
0
—
4)
+b
(
—
1(U)
+
—
r
>c
4.4
+
+
±
N
rJ
+
x
>
t
.x
S
(J
cii
+
01
-
J
1-
K’
h
H
C
—
\5c
—
21. Conipletelv lactor 3.r + 2
15:r + 23.r + 1.5. (Hint: -3 is a root.)
\our aswcr should be a product of a constant polyiioiiiiai awl smile munber of linear
mid c
iiadrctic poliioiiiia1s that are inonic, and any of the quadratic polyiioinials
1
should have no roots.
—
J[
L
Cri
—
—
o
-
-
‘
-t-’o?c
3
.
22. Completvly lactor —2,T
2 + 2 1:c + 30 (hint: 5 is a. rool.)
1 + ic
Yoir answvr should hiav(’ t 111’ S11e form as (I(scrih(d in the previous prohiciti.
tO
—
-6
C IA c
L <.
C
1
-6
‘
-
‘
-2
-
-
)U
+3
G rap lix
23. List all
If
the
110>11W
ii lear Inetors of p(.r) that you know of iruni the graph below.
( l_1
7
(L)
24. Graph 2 Y.r + 1 and label its :r— and y—mtercepts.
25. Graph
26. Graph .u +
—
2 and label its
aiid label
E—
its 2—
and y—itercepts.
and y—iutvrcepts.
27. Graph —(x + 1)2 + 4 and label its vvrtx.