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**Unit 3A Multiple Choice Review!**

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Rate of Change SLOPE! π¦2βπ¦1 π₯2βπ₯1

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**d= common difference (pattern)**

EXPLICIT SEQUENCES ARITHMETIC Add/subtract GEOMETRIC multiply an = d(n β 1) + a0 d= common difference (pattern) a0 = first term an = a0(r)n-1 r= common ratio (pattern)

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**an-1 means the previous term**

RECUSIVE SEQUENCES ARITHMETIC Add/subtract GEOMETRIC multiply a0 = ____ an = an-1 +d an-1 means the previous term an = ran-1

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Analyzing Graphs Domain: Range: X-Intercept(zeros): Y-Intercept: Increasing or Decreasing? As x ο β, y ο ____ As x ο -β, y ο ____ Asymptote:

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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?**

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 β 5, find the average rate of change when π₯ 1 =β3 and π₯ 2 =β2. A. 3 B. 1/3 C. 19/3 D. -3

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**4) Given the table below what value of x makes g(x) = 0?**

2 1 -1 x g(x) -2 6 -1 4 2 1

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**5) If f(x) = x3 - 4 and g(x) = 2x2 + 4x + 4 find f(x) β g(x) A**

5) If f(x) = x3 - 4 and g(x) = 2x2 + 4x + 4 find f(x) β g(x) A. 2x β 4 B. x3 + 3x2 + 4x C. x3 + 2x2 β 4x D. x3 β 2x2 β 4x β 8

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**6. If f(x) = x2 β 3x + 7 and g(x) = x2 + x + 1 Find 3f(x) + 4g(x) A**

6. If f(x) = x2 β 3x + 7 and g(x) = x2 + x + 1 Find 3f(x) + 4g(x) A. 7x2 β 2x + 8 B. 7x2 + 14x + 9 C. 7x4 β 5x + 6 D. 7x2 β 5x + 25

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7) Given g(x) = -3x2 + 2x β 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 β¦**

an = -2n + 11 an = 2n + 11 an = -2n + 15 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 β¦**

an = 5(2)n-1 an = 2(5)n-1 an = 5n β 3 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?**

1,700,000 -1,572,864 1,250,000 1,572,864

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**11) Find the 40th term of the sequence 6, 15, 24, 33β¦**

348 357 366 339

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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, -432β¦ A. B**

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

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**14) State the domain for the function**

B. (0, β] [-3.5,5] (-β,β)

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15) Which statement correctly describes the end behavior of one end of the graph? A. As x ο -β, y ο -β B. As x ο β, y ο 0 C. As x ο -β, y ο 0 D. As x ο β, y ο β

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**16) State the range for this function**

B. (0, β) (1, β) (-β,β)

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**17) What is the y intercept for the graph?**

(0,4) (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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