Unit 3A Multiple Choice Review!

Rate of Change

SLOPE!

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

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

Analyzing Graphs

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

As x -∞, y ____

Asymptote:

1) Use the graph above to find the rate of change from x = -2 to x = 1.A. -4/3B. 3C. -3D. Undefined

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)

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

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

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

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

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

• 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

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

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

11) Find the 40th term of the sequence 6, 15, 24, 33…

A. 348B. 357C. 366D. 339

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

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

14) State the domain for the function

A. [-∞,0) B. (0, ∞]

C. [-3.5,5]D. (-∞,∞)

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 ∞

16) State the range for this functionA. (-5, ∞) B. (0, ∞) C. (1, ∞)D. (-∞,∞)

17) What is the y intercept for the graph?

A. (0,4)B. (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. -2B. 2C. -2/3D. -3/2