I\’Iath 1050-003 Miclterm 3
Spring 2016
me:
o\u1SOr
UNID:
• SHOW ALL WORK. No points will be given for answers without justification.
• The more you show you understand the material, the more points you will receive.
• If you are using a formula to complete a problem, make sure you write down the formula first.
• Simplify your answer as much as you can without a calculator.
• Make sure your handwriting is legible.
• Put your FINAL answer in the space provided on the exam
so that it is easy to locate.
• Calculators, homework, notes. phones, or any other external aid are NOT permitted.
• Absolutely no talking is permitted during the midterm.
• Be sure to work carefully and check your answers before turning in your exam. Once an exam has
been turned in, you will not be allowed to alter your exam for any reason.
• Good Luck!!
April 7, 2016
Page 2 of 8
IViath 1050-003
1) (6 points) Sketch the graph of f(i)
0
=
2(x + 2)(r
—
1) 3 (.r +
1
).
Also state the x—intercept(s), y-intercept, and leading term (LT).
I
=
-
(00+
1c
LT:
2
2) (8 points) Sketch the graph of
f(x)
=
12
2
+2
+3x-4
Also state the x-intercept(s), y-intercept, vertical asymptotes (VA), arid leading term/end behavior
(LT/EB).
-:‘
L)
(o
x-int(s):
I
y-int:
(SoL
Z
2
(—z O
)
ft
—
VA:
LT/EB:
/r
-
I
-•---‘
-
o
3
ci
L)’
(,1
( 0•0
CD
_C
-b
V
1D
CD
0
CD
—
CID
-t
r
C
C))
—
-t
0
Cl)
II
II
0
-t
Cl)
II
—
_C
Q•
—
.
i
()
-t
g
—•
cI
liI•
-.‘
o
o
i—”
c’fa4c
•
C.
aq
c-1
-t
April 7, 2016
Page 4 of 8
Math 1050-003
5) (6 points) Sketch the graph of f(x)
=
logi (x + 2)
\ect 2.
---‘-
Cu-
-
Also state the x—intercept, v—intercept, domain (D), and range (R)
orX0”)
ict(so\ve
1.
+‘.
(o\ve
r
0:
f)
0
x-int(s):
(—i’ o
----.
--
y-int:
.—
——..—.——-
—.
—1•-
(0
—
D:_________
RHk
6) (3 points) Simplify (express as an integer or a rational number):
2-122—58218
ob-5
Z
(6)
H
7) (3 points) Simplify (express as an integer or a rational number):
r
4
(
2..
z
(7)
8) (3 points) Simplify (express as an integer or a rational number):
572
514
1
(8)
9) (3 points) Simplify (express as an integer or a rational number):
2
(8 3
‘ 27)
/
I3\/\\ /—\
3)
(9)
Math 1050-003
10) (3
points)
9
log
April 7. 2016
Page 5 of 8
Simplify (express as an integer or a rational number):
()
S
(10)
11) (3
points)
Simplify (express as an integer or a rational number):
Lj
3
(11)
12) (3 points) Simplify (express as an integer or a rational number):
0 (1000)
log
(12)
13) (3
points)
Approximate; state the closest integers between which the expression lays:
9 (52)
log
L
L
(13)
14) (5
points)
(x)
9
log
±
Solve for x:
(x + 2)
9
log
=
3
3
--
zN
-2/-lc_’-
O
(+(- o
ou S
(14)
i
\
SDSZ)
April 7, 2016
Page 6 of 8
Math 1050-003
15) (5 points) Solve for x;
2 ±5—8
4e
-
°3e L )
\03e(e
\05e(
‘-‘I)
f
(15)
16) (5 points) Solve for x:
(35x1)
=
2
(3X2)
r-1
3
S
Z
fc
‘
-4- i—Z
-
\Ocj(l
rç
LI
‘
)
-
z
2’)
ocj
(
3
(16)
17) (5 points) Solve for x:
loge(6x
—
5)
=
4
e.
r)c
—to
(17)
—
I
1’
(J
iz
Q
F
mmm
+
II
oq
C.
Th
(D
cj
00
C.
Co
April 7, 2016
Page 8 of 8
Math 1050-003
20) (4 points) Determine how many solutions there are to the following system and explain your
reasoning:
(Jx—3y=—9
—4+2y=—8
caue
S 0
2
oce
L(e
= 2f
S
—9
Se2
21) (5 points) Solve the system of equations:
4x + 3y = 6
(2J-5Y=16’).
2_L(
iS
Zric
ZG
(21)