Unit 3A Multiple Choice Review!

Rate of Change SLOPE! 𝑦2−𝑦1 𝑥2−𝑥1

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

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

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

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

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)

3) Given f(x) = -3x – 5, find the average rate of change when 𝑥 1 =−3 and 𝑥 2 =−2. A. 3 B. 1/3 C. 19/3 D. -3

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

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

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

7) Given g(x) = -3x2 + 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

8) Which of the following represents a rule to this sequence 13, 11, 9, 7, 5 … an = -2n + 11 an = 2n + 11 an = -2n + 15 an = 13(-2)n-1

9) Which of the following represents a rule to this sequence 2, 10, 50, 250, 1250 … an = 5(2)n-1 an = 2(5)n-1 an = 5n – 3 an = 10n-1

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

11) Find the 40th term of the sequence 6, 15, 24, 33… 348 357 366 339

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

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

14) State the domain for the function B. (0, ∞] [-3.5,5] (-∞,∞)

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 ∞

16) State the range for this function B. (0, ∞) (1, ∞) (-∞,∞)

17) What is the y intercept for the graph? (0,4) (4,0) C. (2,0) D. (0,2)

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