Download College Algebra

Test Information
Guide:
College-Level
Examination
Program°
2013-14
College Algebra
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College Algebra
Description of the Examination
The College Algebra examination covers material
that is usually taught in a one semester college
course in algebra. Nearly half of the test is made
up of routine problems requiring basic algebraic
skills; the remainder involves solving nonroutine
problems in which candidates must demonstrate
their understanding of concepts. The test includes
questions on basic algebraic operations; linear
and quadratic equations. inequalities and graphs;
algebraic, exponential and logarithmic functions;
and miscellaneous other topics. It is assumed that
candidates are familiar with currently taught algebraic
vocabulary, symbols and notation. The test places
little emphasis on arithmetic calculations. However.
an online scientific calculator (nongraphing) will
be available during the examination.
The examination contains approximately
60 questions to be answered in 90 minutes.
Some of these are pretest questions that will not
be scored. Any time candidates spend on tutorials
and providing personal information is in addition
to the actual testing time.
Knowledge and Skills Required
Questions on the College Algebra examination
require candidates to demonstrate the following
abilities in the approximate proportions indicated.
• Solving routine, straightforward problems
(about 50 percent of the examination)
• Solving nonroutine problems requiring an
understanding of concepts and the application
of skills and concepts (about 50 percent of
the examination)
The subject matter of the College Algebra
examination is drawn from the following topics.
The percentages next to the main topics indicate the
approximate percentage of exam questions on that
topic.
25 % Algebraic Operations
Factoring and expanding polynomials
Operations with algebraic expressions
Operations with exponents
Properties of logarithms
25% Equations and Inequalities
Linear equations and inequalities
Quadratic equations and inequalities
Absolute value equations and inequalities
Systems of equations and inequalities
Exponential and logarithmic equations
30% Functions and Their Properties*
Definition and interpretation
Representation/modeling (graphical,
numerical, symbolic and verbal
representations of functions)
Domain and range
Algebra of functions
Graphs and their properties (including
intercepts, symmetry and transformations)
Inverse functions
20% Number Systems and Operations
Real numbers
Complex numbers
Sequences and series
Factorials and Binomial Theorem
*Each test may contain a variety of functions. including linear.
polynomial (degree s 5). rational. absolute value, power.
exponential. logarithmic and piecewise-defined.
COLLEGE
Sample Test Questions
2. Which of the following is a factor of
4—(x+ y) 2 ?
The following sample questions do not appear on
an actual CLEP examination. They are intended to
give potential test takers an indication of the format
and difficulty level of the examination and to
provide content for practice and review. Knowing
the correct answers to all of the sample questions
is not a guarantee of satisfactory performance on
the exam.
(A)
(B)
(C)
(D)
(E)
Directions: An online scientific calculator will be
available for the questions in this test.
3.
—(x + y) 2
x+ y
2—x+y
2+x+y
4+x+y
2v(3v2 —1)—(6 -8v3 +14v)+ 3 =
Some questions will require you to select from
among five choices. For these questions. select the
BEST of the choices given.
(A) —2v3 +12v— 3
Some questions will require you to type a numerical
answer in the box provided.
(C) 14v3 —14v-4
(B) 14v3 +12v-3
(D) 14v3 — I6v-3
(E) 14v3 —16v-6
Notes: (1) Unless otherwise specified, the domain
of any function f is assumed to be the
set of all real numbers x for which
f (x) is a real number.
4. The radius of the Sun is approximately
109 meters. and the radius of an oxygen atom
is approximately 10-12 meter. The radius of
the Sun is approximately how many times the
radius of an oxygen atom?
(2) i will be used to denote .17.
(3) Figures that accompany questions are
intended to provide information useful
in answering the questions. All figures
lie in a plane unless otherwise
indicated. The figures are drawn as
accurately as possible EXCEPT when it
is stated in a specific question that the
figure is not drawn to scale. Straight
lines and smooth curves may appear
slightly jagged on the screen.
(A)
(B)
(C)
(D)
(E)
10-21
lo3
109
1021
X2 — 9
1.
5. Where defined,
(2x —1)2 =
(A) 2x2 + 1
x+2 =
x-3
x-2
(A) x — 2
x+2
(x 2)(x + 3)
(B)
x+2
x 2 - X -I- 6
(C)
x+2
(B) 4x2 —1
—
(C) 4x2 + 1
(D) 4x2 — 2x +1
(E) 4x2 —4x +1
(D)
(x — 2)(x + 2)
x +3
(E)
(x— 2)(x+ 2)
6
COLLEGE
ALGEBRA
6. Which of the following are the solutions of the
equation 2v( — 3x) — 1 + 3x = 0 ?
10. A ball is dropped from a height of h feet and
repeatedly bounces off the floor. After each
bounce, the ball reaches a height that is -"I of
the height from which it previously fell. For
example, after the first bounce, the ball reaches
2
a height of — h feet. Which of the following
3
represents the total number of feet the ball
travels between the first and the sixth bounce?
1
1
(A).v = and
v = —
3
1
(B) .v = 1 and .v = — —
3
(C).v = 1 ands= 1
(D)x=
1
and .v =
—
+1
(A) E(2h)
5 (I
"•
(E) x = 0 and .v = I
5
)i
(B) h3
i=1
5 r
7. Of the following, which is greatest?
(A) 2(35)
i
(C)
i=1
6
(B) (23 )5
'-I
(C) 3(25)
(D) E(2h)(0
'
(D) (32 )5
(E) IhR)
i=1
(E) 5(32)
8. For any positive integer n ,
(n+ I)!
n!
n
=
(A) 0 (B) 1 (C) n (D) n +1 (E) n!
9. Which of the following is equal to
(A)
(B)
(C)
r2t 112 r 213 t-312
—r813 1
4/3
1314
11. Which of the lines in the figure above is the
graph of x = 3 ?
r413
r5"
(D) 516
(A)
r 8/3
(E)
t
7
in
(B)
n (C) p
(D) q (E) r
ALGEBRA
COLLEGE
12. Which of the following gives all values of x for
which Ix— 2I 5 5 ?
(A)
(B)
(C)
(D)
(E)
x1-7.x.31
x1-55.5
x1-35.7
x I x < —51
xlx<-7 orx>31
15. The graph of the line with equation ax+by=1
is shown above. Which of the following must
be true?
13. Which of the following are the solutions of the
equation 2x2 +2x = 4 —x ?
(A) x =4 and x =1
(A)
(B)
(C)
(D)
(E)
1
(B) x = 4 and x =
2
3
3 — V35
(C) x =
and x =
4
4
—3— 47
(D) x = —3 +14:1 and x =
4
4
—3 + isiT3
—3
—
ish37
(E) x =
and x =
2
2
a > 0 and
a > 0 and
a<0 and
a < 0 and
a = 0 and
h< 0
h> 0
b< 0
b>
b>0
16. The set of all values of b for which the equation
4x2 +bx +1 = 0 has either one real root or two
real roots is defined by
(A)
(B)
(C)
(D)
(E)
h> 4
h<4
b?. 1 or b 5. —1
h> 4 or b < —4
4 or
17. Which quadrants of the xy-plane contain points
of the graph of 2x— y > 4 ?
(A)
(B)
(C)
(D)
(E)
14. The shaded region in the figure above represents
the intersection of the graphs of x 0, y 0,
and which of the following inequalities?
(A) y 5_ —2x —1
(B) y
1
x+1
2
(C) y ?_ —2x —1
(D) y — — x —1
2
1
(E) y — x-1
2
8
I, II, and III only
I, II, and IV only
I, III, and IV only
H, III, and IV only
I, II, III, and IV
18. Joe invests $40,000 and, at the same time, Tom
invests $10,000. The value of Joe's investment
decreases by S4,000 per year, while the value of
Tom's investment increases by $1,000 per year.
Which of the following systems of equations
could be used to find the number of years, t,
that it will take for the values, v, of the two
investments to be equal?
22. If a < 0 < h <c, then each of the following must
be true EXCEPT
(A) ac <ab
(B) a2 < b 2 <e2
(C) a3 < b 3 < •3
(D) ab<b2 <bc
(E) a2b<a2 c
(A) v = 40,000 —t and v =10,000 +t
(B) v = 40,000 —4t and v =10,000 +t
(C) v = 40,000 +1,000t and
v =10,000 — 4,000t
(D) v = 40,000 + 4,000t and
v =10,000 —1,0001
(E) v = 40,000— 4,000t and
v = 10,000 +1,000t
23. The illuminance of a surface varies inversely with
the squaw of its distance from the light source.
If the illuminance of a surface is 120 lumens per
squaw meter when its distance from a certain light
source is 6 meters. by how many meters should
the distance of the surface from the some be
increased to reduce its illuminance to 30 lumens
per square meter?
19. Which of the following is an equation of the
line that passes through the points (-2.1) and
(1,2) in the xv plane?
(A)
(B)
(C)
(D)
(E)
(A) x +31. = 1
(B) + 3v = 5
(C) + 31, = —5
(D)
= —5
(E) x — 31. = —1
24. What are all real values of x for which
2
1 1
3—x 3 x
20. Which of the following numbers arc irrational?
(A)
(B)
(C)
(D)
(E)
I. 5.25
II.
(A)
(B)
(C)
(D)
(E)
11 only
111 only
1 and III only
II and III only
1, 11, and III
21. When
3+4
3
6
12
15
18
x = —3 only
x = 3 only
x = —3 and x = 0
x = —3 and x= 3
There arc no real solutions.
25. Which of the following is the solution set of the
inequality 4 — 71 —
(A)
(B)
(C)
(D)
(E)
i i s expressed in the form a +bi,
what is the value of a ?
9
(— x. 4]
[8,
[4, 8]
(— os, 4] u [8,
(— x. — 4]
—3 ?
COL LEGE
x
p(x)
0
—30
2
110
3
150
4
34
5
—130
6
222
ALGEBRA
3
30. If the first term of a geometric sequence is —
7
2.350
2
3
3
and the second and third terms are -- and —
4
8'
respectively, which of the following represents
the nth term of the sequence?
26. The table above gives some of the values of a
5th degree polynomial p(x). Based on the
values shown, what is the minimum number of
real roots of the equation p(x) = 0 ?
(A)
(B)
(C)
(D)
(E)
(A)
One
Two
Three
Four
Five
3(-1 ) I —I
2n
3( __ ) n
(B)
2n
)"-1
(C) 3(— I
2"
3(-1)n
(D)
2"
3(— ) n —1
(E)
27. The number of bricks in the bottom row of a
brick wall is 49. The next row up from the
bottom contains 47 bricks, and each subsequent
row contains 2 fewer bricks than the row
immediately below it. The number of bricks in
the top row is 3. If the wall is one brick thick.
what is the total number of bricks in the wall?
211+1
31. A clothing company has budgeted $58.000
for the purchase of 7 sewing machines. The
7 sewing machines are to be chosen from two
models, model X and model Y. If a model X
sewing machine costs $8.000 and a model Y
sewing machine costs $9,000. how many model
X sewing machines should the company
purchase to use exactly the budgeted money?
28. Which of the following is the expansion of
(A) 2
(C) 4
(B) 3
(D) 5
(E) 6
(2[ +3) 3 ?
(A) 2[ 3 +3(2[ 21+ 3(2[) +1
(B) 2[ 3 +3(2[ 2 ) + 32 (2[) +3
(C) 2[ 3 + 3(2[ 2 ) + 32 (2[) + 33
(D) (2[)3 +3(2[) 2 + 3 2 (2[)+ 3 3
(E) (2[ ) 3 + 32 (2[ )2 + 33 ( 2 [ ) + 3 3
29. If x = —3 is a root of the equation
x3 +3x 2 — ax 12 =0, what is the value of a '?
32. The graph of the function f is shown above.
—
What is the value of f ( f (1)) ?
(A) —I (B) 0 (C) 1 (D) 2 (E) 4
33. In the Ay-plane, what is the x-intercept of the
graph of y =
— 2
3
10
x
—
4?
34. Which of the following define y as a function
of x?
I. 2x2 +y=7
1
II
y
x
2
(A)
(B)
(C)
(D)
(E)
4
I
;
I
2
-31
37. If f(x)= 2x+1 and g(x)= 3x—I, then
f(g(x)) =
5x
x-2
6x-1
6x +2
6x2 + x-1
38. If log4 (y +2) = 3, what is the value of y ?
(A)
(B)
(C)
(D)
(E)
35. If
None
I and II only
I and III only
II and III only
I, II, and HI
(A) 10 (B) 62 (C) 64 (D) 79 (E) 83
39. A colony of bacteria starts with 2 bacteria at
noon. If the number of bacteria triples every
30 minutes, how many bacteria will be present
at 3:00 P.M. on the same day?
= 92 ", then x =
I
36. Which of the following could be the graph of
y=
y
(B)
(A)
(A)
486
(B)
729
(C)
1.458
(D) 46,656
(E) 118,098
40. Which of the following must be true?
I. log3 31 = t
II. 1n1043 = 4.31n10
O
(C)
(D)
y
(E)
0
-x
III. log io (xy" = log io x + n log io y
(A)
(B)
(C)
(D)
(E)
I only
II only
I and H only
II and III only
I, H, and III
ALGEBRA
COLLEGE
41. If f(x)= 5- 2x3 and f -1 denotes the
inverse function of f, then f -1 (x) =
(A)
(B)
5-x
2
4-57-Tx
2
(C)
(D)
43. The graph of the function y = f(x) is shown
above. Which of the following is the graph of
v= f(x-1)-1- I ?
1
3 5-2x
(E) 5x3 + 2
2x-1
42.
(A)
(B)
(C)
(D)
x-2
x+321
1
(A) x+
(B)
(C)
3x+4
x-3
(x+3)21
3x-3
(x+3)21
3x2 — x + 5
(x+3)(2x+ 1)
3x2 + 7
(E)
(x +3)(2x+ 1)
(D)
—
(E)
44.
(i +1)(3- 0+ (2i -1) =
(A) —6
(B) 1 +4i
(C) 2 + 4i
(D) 3 + 4i
(E) 4 + 2i
12
45. f is an exponential function defined by
f (x) =
, where a and b are positive
constants. If f (5) = 96 and f (7) = 384,
what is the value of a ?
f (x) =
forx 0
ax + b forx > 0
ix2
49. The function f above has an inverse function for
which of the following values of a and b?
(A) a = —I, b = —2
46. Which of the following, when added to 4a 2 +9,
will result in a perfect square for all integer
values of a ?
(A) 0 (B) 3a (C) 6a (D) 9a (E) 12a
(B)
(C)
(D)
(E)
a=—I, h=2
a=0, b=-1
a=1, b=-2
a=1, h=2
50. For the function g(x) = log2 x, which of the
following must be true?
1. The domain is [0,00).
11. The range is (-00,00).
111. g(x) increases with increasing values of x.
X. 2 + y 2 = 25
x+ y =1
47. For what values of x will (x, y) be a solution of
the system of equations above?
(A) x = —4 and x = 3
(B) x = —4 and x = 5
(C) = —3 and x = 4
(D) x = I and x= 5
(E) The system has no solutions.
(A)
(B)
(C)
(D)
(E)
111 only
1 and H only
1 and 111 only
11 and 111 only
I, II, and III
51. A rectangular box has volume .v 3 - 8 cubic
inches. If the height of the box is x — 2 inches.
what is the lava of the base of the box. in square
inches? (The volume of a box equals the area of
the base times the height.)
48. A company's daily cost c. in hundreds of
dollars, to manufacture n items of a certain
product can be modeled by the function c(n).
According to the model, which of the following
is the best interpretation of c-1 (5) = 80, where
C I is the inverse function of c ?
(A) x - + 4
(13)
X2 2X - 4
(C) x - — 2x + 4
(D) x - + 2x + 4
(A) The company's daily cost to manufacture
5 items of the product is $80.
(B) The company's daily cost to manufacture
5 items of the product is $8.000.
(C) The company's daily cost to manufacture
500 items of the product is $80.
(D) The company's daily cost to manufacture
80 items of the product is $5.
(E) The company's daily cost to manufacture
80 items of the product is $500.
(E)
13
+ t4X + 4
COLLEGE
52. If y = 8x 2 + 4x — 1 is expressed in the form
y = a(x — h )2 + k, where a. h. and k are
constants, what is the value of k ?
ALGEBRA
55. log s .1E3 — log 2
=
(A) —3
(B) —2
(C)
(D) -ll
16
(E)
—1
2
53. If b and c are integers such that the equation
3x2 + hx + c = 0 has only one real root, which
of the following statements must be true?
L b is even.
IL e is odd.
III. b2 is a multiple of 3.
(A)
(B)
(C)
(D)
(E)
I only
III only
I and II only
I and III only
I, II, and III
54. A rock is thrown straight up into the air from a
height of 4 feet. The height of the rock above
the ground, in feet, t seconds after it is thrown
is given by —16/ 2 + 56t + 4. For how many
seconds will the height of the rock be at least
28 feet above the ground?
(A)
(B)
(C)
(D)
(E)
0.5
1.5
2.5
3.0
3.5
56. In the figure shown above. the graph of the
function g is a transformation of the graph of
the function f. Which of the following is the
equation of g ?
(A) g(x)= --1-x 2 +3
2
(B) KO=
— 2)2 + 3
(C) g(x)=—Fx — 2)2 — 3
(D) g(x)= —42-(x + 2)2 + 3
(E) g(x) =
+ 2)2 - 3
57. The polynomial p(x) = x3 + 2x — 11 has a real
zero between which two consecutive integers?
(A)
(B)
(C)
(D)
(E)
0 and 1
1 and 2
2 and 3
3 and 4
4 and 5
C
LLEGE
ALOEBR
60. The sum of the first n terms of an arithmetic
sequence al , a,, a3 ,..., an is n (al + an ),
58. Which of the following could be the graph of
y = ax- + hx + c, where h 2 —4(c = 0 ?
(A)
where al and an are the first and the nth terms
of the sequence. respectively. What is the sum
of the odd integers from 1 to 99. inclusive?
(B)
(C)
(A) 2.400
(B) 2.450
(C) 2.475
(D) 2.500
(E) 2.550
(D)
61. The function f is defined for all real numbers .v
by 1(x) — ax 2 + hy + c, where a, b, and c are
constants and a is negative. In the Ay-plane. the
.v-coordinate of the vertex of the parabola
y — f(x) is —1. If t is a number for which
1. ( 1)> [(0), which of the following must be
true?
x
(E)
I. —2<t<0
IL RI)< R 2)
III. •(i)> /(1)
-
(A)
(B)
(C)
(D)
(E)
59. Consider each function below Is the domain of
the function the set of all lea! numbers?
Function
—
f(x)=
g(x)=
2
.:
Yes
No
1
+2
A.,
A: + 1
h(T)= .1 2V •+ 3
15
I only
II only
I and III only
II and III only
I. II. and III
COLLEGE
x
—3
ALGEBRA
65. What is the remainder when the polynomial
9 x23 7 x12
+ I is divided by x+1 ?
h(.v)
5
(A) —19
(B) —13
(C) —7
1
(D)
(E) II
—4
2
62. The table above shows some values of the
function h. which is defined for all real
numbers x. If h is an odd function, what is the
value of c
f(x)-Thrjr1
66.
(A)
(B)
(C)
(D)
(E)
—5
—4
—2
2
4
10
g(x)-Functions f and g are defined as shown above.
What is the domain of the function f + g ?
(A)
(B)
(C)
(D)
(E)
10
63. If E c,„ — 50, what is the value of E( 4a„ +3) ?
n=1
n=1
(A) 53
(B) 80
(C) 203
(D) 223
(E) 230
x>2
—1 < x < 2
—2 <x<1
67. In the x• plane. the line given by which of
the following is perpendicular to the line
5x- 1 = 7?
(A)
(B)
(C)
(D)
(E)
64. If : —1+i and .7 denotes the complex
conjugate of z. which of the following points in
the complex plane above represents z +.7 ?
(A)
(B)
(C)
(D)
(E)
x>_0
A
B
C
D
E
16
2x+5y= 7
2x-5y— 7
5x+ 2y — 7
5x-2y-10
5x-5y=10
68. Which of the following statements about
the polynomial p(x) = (x — 4) 2 (.v 2 + 4)
are true?
71. If log, 5 = 2. what is the value of x
(A)
(B)
(C)
(D)
(E)
I. The polynomial has two imaginary roots.
IL The polynomial has no real roots.
III. The polynomial has four complex roots.
counting multiplicities.
(A)
(B)
(C)
(D)
(E)
I only
II only
III only
I and III only
1.11, and III
(A)
(B)
(C)
(D)
(E)
R(x) —1200x—.x 2
For a certain company. the functions shown
above model the cost C of producing .v units of a
product and the revenue R from selling .v units of
the same product. The profit function P is equal
to R C. Which of the following defines the
function P ?
P(x) x2 - 200x +1200
P(x)— .v2 + 200x-1200
x) = —.v 2 + 200x —1200
P(x). x 2 + 2200x-1200
P(x) — .v 2 +2200x +1200
—
—
70. Which of the following is equivalent to
;f37
./6
?
2
3
3
2
2
3
8
73. The function f is defined by f (x) = x 2 +3.
Which of the following is equal to f(x +5)?
(A)
(B)
(C)
(D)
(E)
—
(A)
(B)
(C)
(D)
(E)
25
52
72. What is the solution of the equation 4 2 ' = 64 ?
C(x) =1200 +1000x
69.
V3
sri
x2
x2
x2
x2
+8
+ 28
+5x+8
+10x+8
+10x+28
74. The population of a certain city was 10.200 on
January I. 2013. If the population increases by
8 percent per year for the next 3 years. which of
the following best approximates the population
of the city on January I. 2016 ?
(A)
(B)
(C)
(D)
(E)
17
10,200(0.8) 3
10,200(0.08) 3
10,200(1.08) 3
10,200 + (0.8)(3)
10,200 + (1.08)(3)
ALGEBRA
75. What is the value of f (0) for the function
f (x)= logio 10+ 9' + (x — 2)(x — 1) ?
78. When the quadratic functions below are graphed
in the .vv plane, is the vertex for each function
above the .v axis, below the .v axis, or on the
.v axis?
Function
Above
Below
On
f(x)=x 2 +3
76. If 20= 3x, which of the following
expresses .v as a base ten logarithm?
f(x)=(x+3?
(A) log io 60
f (x)= —x 2 +3
( B) (log io 20) + (log,„ 3)
.1 CO = x` —3
(C) (log,,, 20) —(log,„ 3)
(D) (logio 20) (log io 3)
log 20
(E)
'
logic 3
77. The owner of a small restaurant earned a profit
of $300 during the first month of operation.
According to the business model for the next
12 months, it is projected that the profit for each
month after the first will be $50 more than the
profit for the preceding month. If p(m)
represents the profit for each month in and
m =1 represents the first month, which of the
following functions describes the business
model?
(A)
(B)
(C)
(D)
(E)
79. A circular cylindrical water tank is filled with
water to 75 percent of its total volume of V
cubic inches. The radius of the tank is 6 inches,
and the height of the tank is h inches. Which of
the following represents the height, in inches. of
the water in the tank? (Note: The volume of a
cylinder with radius r and height h is given by
r r`h.)
V
(A) —
671.
V
(B) —
87r
p(m) = m + 50
p(m) = m + 300
p(m) = 50m +250
p(m) = 50m + 300
p(m) = 300m +50
(C)
(D)
(E)
V
27/r
V
36zr
V
487r
80. Select two of the following choices and place
them in the blanks below so that the resulting
statement is true.
.1.(-0 = 'xi+ 8
increasing
The function
18
f(x)= x2 —4
decreasing
f (x) = In x
constant
is
on its domain.
ALGEBRA
COLLEGE
Study Resources
Most textbooks used in college level algebra courses
cover the topics in the outline given earlier, but
the approaches to certain topics and the emphases
given to them may differ. To prepare for the College
Algebra exam. it is advisable to study one or more
college textbooks, which can be found in most college
bookstores. When selecting a textbook, check the
table of contents against the knowledge and skills
required for this test.
Answer Key
I.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
41.
42.
Visit www.collegeboard.ore/clepprep for additional
college algebra resources. You can also find
suggestions for exam preparation in Chapter IV of
the Official Study Guide. In addition, many college
faculty post their course materials on their schools'
websites.
19
E
D
D
E
B
A
A
B
E
A
D
C
D
D
B
E
C
E
D
D
2
B
B
E
C
C
624
E
4
C
D
A
-6
E
I
D
C
B
C
E
A
D
43. B
44. D
45. 3
46. E
47. C
48. E
49. A
50. D
51. D
52. C
53. D
54. C
55. 1
56. D
57. B
58. B
59. See the
following page
60. D
61. C
E
63. E
64. B
65. B
66. D
67. A
68. D
69. C
70. E
71. A
72. B
73. E
74. C
75. 4
76. E
77. C
78. See the
following page
79. E
80. See the
following page
COLLEGE
59.
Yes
Function
No
--.+1
f(x)— :2 2
11
x.2
g(X)-
.
:v + 1
h(x)=
,.
"4_,_ 3
vT.
78.
Function
f(x)=x 2 +3
Above
Below
.4
f(x)=(x + 3)2
f(x)=—x 2 +3
f(x)=x 2- 3
On
4
11
.4
80.
The function f (x) = In x is increasing on its domain.
ALGEBRA