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MATH001
Term:122
Major Exam I1
Thursday, 18th April 2013
Code: 001
Page: 1
1) The sum of the solutions of the equation (14 - 2 ~ ) =~4 ' is~ equal to
2) Which one of the following statements is FALSE about the graph of the
--1
x 2 + 2 , if x < 2
2
function Ax) =
1
-X ,
if x > 2
2
A) The graph off has two x-interc
[Hint: Sketch the graph]
a . p # /E ~ S S
@ rO
&
) ? n d b # t 8 1 / 9 . 2-16
B) The graph off lies above the x-axis over the interval (-2, 2) u (2,
w).
0
The graph off is decreasing over the interval (- m, 01.
D) The graph off has one y- intercept.
E) The graph off is increasing over the interval (2,
AY
I.
w).
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Juea;
13
*
9 ouirh
fke L A k d re, g
' (c)
k
FALSE.
-.
Code: 001
Page: 2
Major Exam I1
Thursday, 18th April 2013
MATH001
Term: 122
3) The solution set, in interval notation, of the inequality x3 + 3 2 -16 x
is
*
A)
(-..I
-31 u [4,
-
~ 3 ~ 3 ldx
~ 3 4
: 8 5
C 6
~ % h + 3 ) 16(+3\
+
B) [-3, -)
4) The solution set, in interval notation, of the inequality
-
5
48
MATH001
Term: 122
Code: 001
Page: 3
Major Exam I1
Thursday, 18th April 2013
5) The line passing through the points (-1,5) and (2, 0) passes through
6) One of the nonreal complex solutions of the equation x3 - 8
= 0
is
MATH001
Term: 122
Major Exam I1
Thursday, 18th April 2013
7 )If -6(2x + 1 ) - 3 ( x - k) = -15x + 1 is an identity then k =
Code: 001
Page: 4
Major Exam I1
Thursday, 18th April 2013
MATH001
Term: 122
Code: 001
Page: 5
9) The sum of the real and imagnary parts of the complex number
+ m r w h e r e i = a r isequalto
4 i19
10) If the difference between seven times a number and 9 is equal to five times
the sum of the number and 2 then the number is
L O + %e rru**hh
A) 7.25
=h 7 X - 7 z 5 ( x c ~ )
Major Exam I1
Thursday, 18th April 2013
MATH001
Term: 122
Code: 001
Page: 6
11) If (h, k) is the center and r is the radius of the circle 2x2 + zY2- 6x + 10y = 1,
then h + k + r =
1
=$
A) 8
~ ~ + ~ " - ~=
%+57
-
12) The solution set ,in interval notation, of the inequality -2 3 is
x+2
5
- 2
@
B)
5
(-5--I
3
-2) u (--,5 w)
3
D) ( - ~ , -5- 1 ~ [ 2 w )
3
5
E) [-2, --I
3
C)
(-w,
=BJ%+&-
=&
3
,* 4
0-
I -3x-4
-(3~+5)
)cf2 3
JW-5
C,
XCL
*
+/0
Major Exam I1
Thursday, 18th April 2013
MATH001
Term: 122
13) The solution set of the equation
Jx
+ 2+
Code: 001
Page: 7
=1
contains
= f -(
z
0 one negative rational number only.= $ ~ l c + ~rl-2 WL
+XCZA) two positive rational numbers.
e'
m
C) one positive rational number only.
D) two negative rational numbers.
==+a>c+y -- -2.
* r 3 k y +L=-'o
E) no real numbers.
/ 1
14) The sum of the solutions of the equation -= 3 is equal to
MATH001
Term: 122
Major Exam I1
Thursday, 18th April 2013
Code: 001
Page: 8
15) If (x,-2) is the midpoint of the line segment joining (-6, y) and (22, -16),
then x + y =
16) If the line passing through the points (2, 6)and (-4, k) is parallel to the line
2x - 3y = 4 ,then k is equal to
MATH001
Term: 122
Major Exam I1
Thursday, 18th April 2013
Code: 001
Page: 9
17) If, by completing the square for the quadratic equation 9 x 2 - 12x + 9 = 0 ,
we get ( x - ~ =) b~ , then a + b =
1 8 ) If the graph of a
A) f ( x ) = -x
-1
C ) f ( x ) = 3x - 1
@f ( X ) = --X31
-1
Major Exam I1
Thursday, 18th April 2013
MATH001
Term:122
Code: 001
Page: 10
19) Which one of the following relations defines y as a function of x ?
A) x=y6
B) x2 - y2
C) lyl = x
=9
8
c
my= F
4 barn- = c+~&g
20) The equation of the circle with center (-3, 2) and tangent to the y-axis is