Math 1050—4 Midterm Exam #2
March 13, 2015
•
•
•
•
No notes, books, etc. are allowed.
Answer the questions in the spaces provided.
You have 50 minutes to complete this exam.
Good luck!
Name:
uNID:
True/False
1. (8 points) For #1—8, write the word “True” or “False.”
(a) ‘,/x
(b)
y
+
(xy)”
(c) a(b
(d) (x
+
+
(e) /ij
+
=
lJ
—
L
/
/
=
c)
=
y)”
ab
+
x’
+
(a)
j
-[-)1 ‘-)
(L
(b)
ac
yfl
(c)
T
(d)
(e)
=
()fl=
(f)
(f)
(g)
(g)
(h) —7x
5
Algebra
+
4
3x
—
2x
\r2
+
1 has 7 roots
nitun
r&vnoQr
-e
‘
2. (1 point) Find x where (x
standard form.)
((.4
±
--
16)
+
9
=
—18. (Your answer should be an integer in
x -f
)
+
(h)
fric
-
T vt
I
-
=
—
—
Cl
.
-
l
3
.-
c
2.
3. (1 point) If g(x) is an invertible function, and g(—3)
5, then what is g’(5)?
3.
—3
Points earned:
out of a possible 10 points
4. (1 point) Find the inverse of f(x)
seeing if f o f(x) = x.)
3f—-;
)
—1
9Ix
=
2. (You can check your answer by
+
(f)jj
-
I
/
//
-
/
I
/
5. (1 point) What is the implied domain of q(x)
answer as an interval.)
=
4.
•
—‘4x
—9
ef
L’LCL
+
j;
C
7
3x
L!l(
(‘17i
—
2? (Write your
k j()
(IUJ
(
lx
()
Cl
(\cdQrrf/
((•
)
L
—b
—
4ac
fb
— 4ac
f—b
—
2a
2a
•
()
Page
2
14)
-
0. Write the foIlwing as aniteger
2 Tip()
—
Q
(
5.
2
0 and that b
6. (1 point) Suppose that a
in standard form:
a
() do
)
Cuf
4
c
k
1
— 4ac
l+L
)
i
c
Points earned:
out of a possible 3 points
2
+
4
8x
—
3
—
6x
2x+4
6x
7.
(1 point)
Find
2
2x
+ 1
2
x •-)
14*32
—
5;c
5)
•
8. (1
point)
Find
2
+
3
3x
—
7x
2
-4
x+3
: .i .tc
-3
A-I
.—J±
——------
.
-
Cc
8.
9. (1 point) What is the
(1,3) and (6, 13)?
slope of
the
straight line in
3)
2 that
R
2
.4
passes through
the
point
J0
-J
:: —r,
---------E
9.__
a
Page
3
Points earned:
out of a possible
3
points
-
Cl)
(“I
C
S’..
rt
.5.’
o
-C
—
.5.,
CC
C
—-C
—
N
3
I’
4
-
,—,
)
><5
‘
(.4)
-‘
CAJ
5.’.
c
U,
(5
‘.5
—
—
(ki
-ç
K
1
±
+
+-
0’
C
C
C
C
\,
1
-1
—I
—
—1
i
j
.
:
P
iTiC9
i
N
‘
.5
.
Ic_
-q.
cn
C
(_
C
-
-
H
D
4-
J.
;
C
-
L
V
_5.
—
r
c.5L)
‘M-
I
P
cJJ
-
1
I
_
_
+
Ii
N
4-
I/
L
S
N
5•_.__
I
‘
If)
o-’.
C
-
¶
(N
-
ii
S
N
4-
>1.
11
•?<
-
+
+
+
0’
—
(I)
(D
p
-&
14. (1 point) Completely factor 3x
3
2 + x
4x
10. (Hint: 2 is a root.) (Your answer
should be a product of a constant polynomial (a number), and perhaps some monic
linear polynomials (monic i.e. the leading coefficient equals to 1) and monic quadratic
polynomials (which have no roots).
i
Le-I- j)C)
2
‘3
.-
3
2
C.x)
I
—
—
ic
5c
2
(_)(SJ5)
.33
(
b
2
c
-
(a)
—5€,
2
< (>
I/J
1
i2c
)/
14.(
)(x
-
+
15. (1 point) Completely factor 2x
3 + 9x + 7x — 6. (Hint: —2 is a root.) (Your mswer
;.t qx.4
should have the same form as described in #2 1.)
L. /
-
.-‘1
ic
(c
roo
.s
(Q1Q
-5
+
2
aC z)
7
2)
5)(
3J
—
—12 /
-
I)
(>)
15.
2
.3)(
Y c.]
abe
Points earned:
out of a possible 2
points
U
C
(4
0
C
C
C,:
C
C)
C
C
m
L)
x
Th
-
-Ic)
()
c-J
>.
I
c_
>c
>
—
‘C
-
C,:
00
C
C
-
17. (1 point) Graph 3’L
+
1, and label its x- and y-intercepts
4
X 0
2
(1)
r
-4
-2
2
-.
4
—2
—4
18. (1 point) Graph —4x
—
2, and label its x- and y-intercepts.
4
=
2
—4
—2
2
4
—2
—4
Page 7
Points earned:
out of a possible 2 points
-i
o
19. (1 point) Graph
—
1, and label its x- and y-intercepts.
4
2
(3,°)
2
—2
—4
4
-2
0
-----)
—4
20. (1 point) Graph —3(x
x-intercept.)
—
1)2
—
1; label its vertex, and y-intercept. (It does not have an
(
_
-(o
4
3(’)
3j
4
—2
—2
—4
Page 8
2
-3(i) ‘-1
2
—4
i)-)
Points earned:
out of a possible 2 points