1. Unit 3A Multiple Choice Review!

2. Rate of Change
SLOPE! 𝑦2−𝑦1 𝑥2−𝑥1

3. 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)

4. 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

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

6. 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

7. 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)

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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

14. 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

15. 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

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

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

18. 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.

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

20. 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 ∞

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

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

23. 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