Test5 Review A) –12 B) 0 C) 1 D) 4 1. If f( x )=4x 0 + (4x ) –1 , what is the value of f(4)? A) 1.3 10 –7 m 2 B) 3.3 10 –7 m 2 C) 1.3 10 –6 m 2 D) 3.3 10 –23 m 2 2. Each cell of a certain bacteria has an area of 6.5 10 –15 meters squared. If a colony of this bacteria consists of 2.0 10 8 cells, what is the total area of the colony? A) 1 B) 1/5 C) 5 D) 0 3. If the length of a rectangular room is 5 and the area is x 0 , what is the other side of the rectangle? A) B) C) D) 4. The expression , is equivalent to 5. The expression below: A) B) C) D) is equivalent to A) ( ) 3 B) ( ) 2 C) 6 D) 8 6. Which of the following is equivalent to 4 ? 7. A) B) C) D) The expression above is equivalent to A) B) 2 x C) 4 D) 4 8. If x is a positive integer, 4x is equivalent to 9. If g(x )=( ) x , find g(– ). 10. Find the value of 11. The value of the following function is A) B) C) D) 12. Which of the following is equal to if ? A) B) C) D) 13. Express the following in simplest form and with no negative exponents. 14. If a = 4, evaluate a + a 0 + a –2 . A) 16 B) –16 C) – D) 512 15. The value of (64) is A) y = –10 x B) y = 10 – x C) y = ( ) – x D) y =( ) x 16. Which equation is equivalent to y = 10 x ? A) B) – C) –4 D) 4 17. The expression 8 – is equivalent to 18. The value of is A) B) C) D) A) B) C) D) 19. The expression is equivalent to A) B) 3 C) 6 D) 36 20. Two sides of a rectangle are and . What is the area of the rectangle? A) 1 B) 7 C) –2 D) 4 21. What is the value of x in the equation =3 i ? A) {} B) {2} C) {6} D) {2,6} 22. What is the solution set of the equation x =2 ? A) { } B) {– } C) {–2} D) { } 23. If x is a real number, what is the solution set of the equation = 2?
Transcript
Test5 Review
A) –12 B) 0 C) 1 D) 4
1. If f(x) = 4x0 + (4x)–1, what is the value of f(4)?
A) 1.3 10–7 m2 B) 3.3 10–7 m2
C) 1.3 10–6 m2 D) 3.3 10–23 m2
2. Each cell of a certain bacteria has an area of 6.5 10–15 meters squared. If a colony of thisbacteria consists of 2.0 108 cells, what is thetotal area of the colony?
A) 1 B) 1/5 C) 5 D) 0
3. If the length of a rectangular room is 5 and thearea is x 0, what is the other side of therectangle?
A) B)
C) D)
4. The expression , is equivalent to
5. The expression below:
A) B) C) D)
is equivalent to
A) ( )3 B) ( )2C) 6 D) 8
6. Which of the following is equivalent to 4 ?
7.
A) B) C) D)
The expression above is equivalent to
A) B) 2xC) 4 D) 4
8. If x is a positive integer, 4x is equivalent to
9. If g(x) = ( )x, find g(– ).
10. Find the value of
11. The value of the following function is
A) B) C) D)
12. Which of the following is equal to if?
A) B) C) D)
13. Express the following in simplest form andwith no negative exponents.
14. If a = 4, evaluate a + a 0 + a –2.
A) 16 B) –16 C) – D) 512
15. The value of (64) is
A) y = –10x B) y = 10–xC) y = ( )–x D) y = ( )x
16. Which equation is equivalent to y = 10x?
A) B) – C) –4 D) 4
17. The expression 8– is equivalent to
18. The value of is
A) B) C) D)
A) B)C) D)
19. The expression is equivalent to
A) B) 3C) 6 D) 36
20. Two sides of a rectangle are and .What is the area of the rectangle?
A) 1 B) 7 C) –2 D) 4
21. What is the value of x in the equation = 3i?
A) {} B) {2}C) {6} D) {2,6}
22. What is the solution set of the equation x = 2?
A) { } B) {– }C) {–2} D) { }
23. If x is a real number, what is the solution set ofthe equation = 2?
24. What is the solution set of the equation below?
A) {1} B) {2} C) {1,2} D) { }
25. What is the solution set of the equation below?
A) B)C) D)
A) 1 B) 8 – 3C) D) 4 – 6
26. If ( – ) is divided by , the result is
27. A function is even if it is symmetric withrespect to the
A) x–axis B) y–axisC) origin D) line y = x
28. A function is odd if it is symmetric withrespect to the
A) x–axis B) y–axisC) origin D) line y = 1
29. Which function is even?
A) y = x3 B) y = 2x2
C) y = x39 D) y = x5
30. Which of the following functions is odd?
A) y = x3 B) y = x2C) y = x2 + 2x + 3 D) y = x100
A) reflection in the originB) reflection in the x–axisC) reflection in the y–axisD) reflection in the line y = x
31. Under which transformation does the graph of y = cos x remain unchanged?
A) y = 2cos x B) y = 3e–xC) y = sin 2x D) y = log xE) y = x3 + 4
32. Which of the following is an odd function?
A) (–6,12) B) (–5,4)C) (–3/2,1/3) D) (–1,–8)
33. The image of the origin under a certaintranslation is the point (2,–6). The image ofpoint (–3,–2) under the same translation is thepoint
A) A translation of 2 to the leftB) A translation of 2 upwardsC) A reflection in the line y = 2D) A reflection in the line x = 2
34. An artist likes to paint murals featuringgeometric lines and shapes. When he paintson a large wall he uses a coordinate system tohelp him. He painted his first line at y = x +3 and his second line at y = x + 5. Whattransformation is represented by going fromthe first line to the second line?
A) (3,4) B) (–3,4)C) (4,–3) D) (–4,3)
35. What are the coordinates of point P, the imageof point (3,–4) after a reflection in the line y = x?
A) D2 B) ry=6C) T(2,2) D) R180º
36. In order to paint a circle onto his wall, Jeremyused a used a grid resembling a coordinateplane. He drew a circle with an equation of (x – 3)2 + (y – 5)2 = 9. He then erased thecircle and redrew it at (x – 5)2 + (y – 7)2 = 9.Which of the following transformations didthe circle undergo?
A) (x,y) (x+h,y+k)B) (x,y) (kx,–ky)C) (x,y) (y,x)D) (x,y) (–x,–y)
37. Which transformation represents a reflectionin the origin?
A) (–4,3) B) (–4,5)C) (8,3) D) (8,5)
38. What is the image of point (2,4) under thetranslation T(–6,1)?
A) reflection in the y–axisB) reflection in the x–axisC) reflection in the line y = xD) reflection in the origin
39. If y = 2x and y =( )x are graphed on the sameset of coordinate axes, which transformationwould map one of these curves onto the other?
40. The parabola shown in the diagram is reflectedin the x-axis.
A) (2,–5) B) (–2,5)C) (–2,–5) D) (5,2)
What is the image of the turning point after thereflection?
41. Find the image of A(4,–2) under thetransformation ry = x.
42. The accompanying diagram shows the graphof the equation y = 3x.
A) y = log3x B) y = ( )xC) y = –3x D) x = 3y
What is the equation of the graph obtained byreflecting y = 3x in the x–axis?
A) (–8,6) B) (4,–2)C) (6,0) D) (0,6)
43. What is the image of P(–4,6) under thecomposite rx = 2 ° ry–axis?
A) distance and orientationB) angle measurement and orientationC) distance, but not angle measurementD) distance and angle measurement
44. A line reflection preserves
A)
B)
C)
D)
45. Which graph represents the reflection over the
x–axis of the curve y = sin x?
46. The graph below represents f(x).
A) B)
C) D)
Which graph represents f(–x)?
47. "
"
A)B)C)D)E)
Which of the following functions is represented bythe graph above?
48. The graph of f(x) is shown in the accompanying diagram.
A) B)
C) D)
Which graph represents rx–axis º ry–axisf(x)
49. Find the coordinates of ry–axis ° ry = x (A) if thecoordinates of A are (6,1).
50. What are the coordinates of P', the image ofthe point P(2,3), under the transformation rx=4 ° rx–axis?
A) –7 B) –3 C) –1 D) 7
51. If f(x) = –2x + 7 and g(x) = x 2 – 2, then f(g(3)) is equal to
A) 1 and –1 B) 0, onlyC) –2, only D) 0 and –2
52. If f(x) = x + 1 and g(x) = x2 – 1, theexpression (g ° f)(x) equals 0 when x is equalto
53. If , and , then theexpression below is equal to
A) B) C) D)
54. If and , determinethe value of
A) B)C) D)
55. If and , whichnumber satisfies ?
A) B) C) D)
56. Cost Analysis: The cost C to produce x unitsof a given product per month is given byC = f(x) = 19,200 + 160x. If the demand x each month at a selling price of $p per unit isgiven byx = g (p) = 200 – p/4Find (f º g) (p) and interpret.
57.
""
A) B) C) 5 D) 4
A) B) C) D)
58. If f(x) = , then f(n + 1) is equal to
A) x –2 B) x 2C) –2 < x < 2 D) x < 0E) x > 0
59. If f (x) = log x and g (x) = 4 – x2, what is thedomain of f (g (x))?
60.
61. Find the inverse of
A) x = y + B) y = x + C) y = x – D) y = –3x – 2
62. If a function is defined by the equation y = 3x + 2, which equation defines the inverse of thisfunction?
A) reflection in the y–axisB) reflection in the x–axisC) reflection in the line y = xD) reflection in the origin
63. If y = 2x and y = log2x are graphed on thesame set of coordinate axes, whichtransformation would map one of these curvesonto the other?
A) y = |x| B) y = –xC) y = 3x + 2 D) y = 2x
64. Which equation defines a function whoseinverse is not a function?
A) (b,a) B) (a,0)C) (0,b) D) (–a,–b)
65. If point (a,b) lies on the graph y = f(x), thegraph y = f–1(x) must contain point
A) y = – x – B) y = –2x – 3C) 2y + x + 3 = 0 D) 2x – y + 3 = 0
66. What is the inverse of the function x + 2y + 3= 0?
A)B)C)D)
67. Which function is even?
68. Algebraically determine whether the function j(x) = x4 – 3x2 – 4 is odd, even, or neither.
69. Over the set of integers, factor the expression4x3 - x2 + 16x - 4 completely
A)B)C)D)
70. When factored completely, the expression is equivalent to
A)B)C)D)
71. When factored completely, equals
72. Factor:
A) 0 B) 2 C) 3 D) –3
73. If is a factor what is thevalue of ?
A)
B)
C)D)
74. Which expression has been rewritten correctlyto form a true statement?
A)B)C)D)
75. When factored completely, isequivalent to
76. Algebraically determine the values of h and k to correctly complete the identity stated below.
A)B)C)D)
77. The expression isequivalent to
A)B)C)D)
78. Factored completely, the expression is equivalent to
A)B)C)D)
79. When factored completely, the expression is equivalent to
