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Unit 3A Multiple Choice Review!

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Rate of Change

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EXPLICIT SEQUENCES ARITHMETIC Add/subtract GEOMETRIC multiply a n = d(n – 1) + a 0 d= common difference (pattern) a 0 = first term a n = a 0 (r) n-1 r= common ratio (pattern) a 0 = first term

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RECUSIVE SEQUENCES ARITHMETIC Add/subtract GEOMETRIC multiply a 0 = ____ a n = a n-1 +d a n-1 means the previous term a 0 = ____ a n = ra n-1 a n-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. -4/3 B. 3 C. -3 D. 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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4) Given the table below what value of x makes g(x) = 0? A.0 B.2 C.1 D.-1 xg(x) -26 4 02 10 2-2

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5) If f(x) = x 3 - 4 and g(x) = 2x 2 + 4x + 4 find f(x) – g(x) A. 2x – 4 B. x 3 + 3x 2 + 4x C. x 3 + 2x 2 – 4x D. x 3 – 2x 2 – 4x – 8

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6. If f(x) = x 2 – 3x + 7 and g(x) = x 2 + x + 1 Find 3f(x) + 4g(x) A. 7x 2 – 2x + 8 B. 7x 2 + 14x + 9 C. 7x 4 – 5x + 6 D. 7x 2 – 5x + 25

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7) Given g(x) = -3x 2 + 2x – 6 which of the following statements is true? A. g(-2) = -142 B. g(3) = -27 C. g(0) = 0 D. g(1) = -9

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8) Which of the following represents a rule to this sequence 13, 11, 9, 7, 5 … A.a n = -2n + 11 B.a n = 2n + 11 C.a n = -2n + 15 D.a n = 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.a n = 5(2) n-1 B.a n = 2(5) n-1 C.a n = 5n – 3 D.a n = 10 n-1

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10) What is the twentieth term of the sequence whose nth term is a n = -3(2) n-1 ? A.1,700,000 B.-1,572,864 C.1,250,000 D.1,572,864

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11) Find the 40 th term of the sequence 6, 15, 24, 33… A.348 B.357 C.366 D.339

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12) Write a recursive rule for the following 1, 5, 9, 13, 17, 21 A. B. C. D.

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13) Write a recursive rule for the following -2, -12, -72, -432… A. B. C. D.

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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 0 C. As x -∞, y 0 D. As x ∞, y ∞

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16) State the range for this function A. (-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. -2 B. 2 C. -2/3 D. -3/2

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