unit 3a multiple choice review!. rate of change explicit sequences arithmetic add/subtract geometric...
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Unit 3A Multiple Choice Review!
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Rate of Change
SLOPE!
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EXPLICIT SEQUENCESARITHMETICAdd/subtract
GEOMETRICmultiply
an = d(n – 1) + a0
d= common difference (pattern)
a0 = first term
an = a0(r)n-1
r= common ratio(pattern)
a0 = first term
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RECUSIVE SEQUENCESARITHMETICAdd/subtract
GEOMETRICmultiply
a0 = ____an = an-1 +d
an-1 means the previous term
a0 = ____an = ran-1
an-1 means the previous term
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Analyzing Graphs
Domain: Range:X-Intercept(zeros): Y-Intercept:Increasing or Decreasing?As x ∞, y ____
As x -∞, y ____
Asymptote:
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1) Use the graph above to find the rate of change from x = -2 to x = 1.A. -4/3B. 3C. -3D. Undefined
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2) Which of the following sets of points is a function?
A. (-2, -1), (3, 2), (-2, -1), (3, 12)B. (-2, -1), (3, 2), (4, 8), (3, 19)C. (2, -1), (2, 2), (15, 5), (3, -1)D. (-2, -1), (4, 7), (2, -1), (10, 5)
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3) Given f(x) = -3x – 5, find the average rate of change when and A. 3 B. 1/3C. 19/3 D. -3
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4) Given the table below what value of x makes g(x) = 0?A. 0B. 2C. 1D. -1
x g(x)-2 6-1 40 21 02 -2
( )g x
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5) If f(x) = x3 - 4 and g(x) = 2x2 + 4x + 4 find f(x) – g(x)
A. 2x – 4 B. x3 + 3x2 + 4xC. x3 + 2x2 – 4xD. x3 – 2x2 – 4x – 8
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6. If f(x) = x2 – 3x + 7 and g(x) = x2 + x + 1 Find 3f(x) + 4g(x)A. 7x2 – 2x + 8B. 7x2 + 14x + 9C. 7x4 – 5x + 6D. 7x2 – 5x + 25
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7) Given g(x) = -3x2 + 2x – 6 which of the following statements is true?A. g(-2) = -142B. g(3) = -27C. g(0) = 0D. g(1) = -9
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• 8) Which of the following represents a rule to this sequence 13, 11, 9, 7, 5 …
A. an = -2n + 11
B. an = 2n + 11
C. an = -2n + 15
D. an = 13(-2)n-1
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9) Which of the following represents a rule to this sequence 2, 10, 50, 250, 1250 …A. an = 5(2)n-1
B. an = 2(5)n-1
C. an = 5n – 3
D. an = 10n-1
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10) What is the twentieth term of the sequence whose nth term is an = -3(2)n-1?
A. 1,700,000B. -1,572,864C. 1,250,000D. 1,572,864
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11) Find the 40th term of the sequence 6, 15, 24, 33…
A. 348B. 357C. 366D. 339
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12) Write a recursive rule for the following 1, 5, 9, 13, 17, 21
A. B. C. D.
1 11; 4n na a a
1 14; 1n na a a
1 11; 5n na a a 4 3na n
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13) Write a recursive rule for the following -2, -12, -72, -432…
A. B. C. D.
1 12; 6n na a a
1 16; 2n na a a
1 12; 6n na a a
1 16; 2n na a a
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14) State the domain for the function
A. [-∞,0) B. (0, ∞]
C. [-3.5,5]D. (-∞,∞)
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15) Which statement correctly describes the end behavior of one end of the graph?A. As x -∞, y -∞B. As x ∞, y 0C. As x -∞, y 0D. As x ∞, y ∞
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16) State the range for this functionA. (-5, ∞) B. (0, ∞) C. (1, ∞)D. (-∞,∞)
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17) What is the y intercept for the graph?
A. (0,4)B. (4,0)C. (2,0)D. (0,2)
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18) What is the rate of change for the graph between x = 0 and x = 2?
A. -2B. 2C. -2/3D. -3/2