Functions Quiz
9. The parallelogram below has an area that can be represented by
x2 + x - 6. The base of the parallelogram has a measure of x + 3. What is the measure of the height (h)?
A. (x - 2) B. (x + 2)
C. (x - 3) D. (x + 3)
10. Find the factors of the trinomial x2 – 7x + 12.
A. (x + 2)(x + 6) B. (x – 2)(x - 6)
C. (x - 3)( x – 4) D. (x + 3)(x + 4)
11. Find the missing length in the area model:
4x -5
4x2 / -5x-16x / 20
?
?
A. 4x – 5
B. -16x + 20
C. 4x – 4
D. x – 4
12. Which of the following is not a geometric sequence?
A. 4, 8, 12, 16, … B. 8, 4, 2, 1, …
C. 1, 3, 9, 27, … D. -2, 2, -2, 2, …
13. If a geometric sequence has an initial value of 10 and a common ratio of 2, what is the 7th term of the sequence?
A. 1280 B. 640 C. 320 D. 22
14. Which of the following is an arithmetic sequence?
A. 1, 2, 3, 5, 8 … B. 5, 12, 19, 26, 33 …
C. 2, 4, 8, 16, 32 … D. 1, 4, 9, 16, 25 …
15. Find the first four terms of the sequence defined by an = 5 + 3n
A. 3, 18, 33, 48, B. 3, 6, 9, 12
C. 8, 11, 14, 17 D. 15, 30, 75, 100
Use the information below to answer questions 16-17.
Jennifer received a chain e-mail letter that instructed her to forward the e-mail to 5 more people. The table below shows the number of rounds of sending the e-mail and the number of new e-mails generated
Number of rounds sending e-mail, n / 1 / 2 / 3 / 4Number of new e-mails generated, / 5 / 25 / 125 / 625
16. Write a rule for the nth term of the sequence.
A. = 5n B. = 5(n – 1) C. = D. =
17. In which round will the millionth copy of the e-mail be sent?
A. 200,000th B. 100,000th C. 10th D. 9th
18. Kelly wants to buy a tool set that is on sale at a hardware store. The price of each tool set will be decreased by 8% each morning just before the store opens. The sale will last for 7 days, or until all the sets are sold. After the first reduction on Monday, the price of each set was $135. If Kelly wants to wait until the first day that the price is $100 or less, on which day should she buy her tool set, if one is still available?
A. Wednesday B. Thursday C. Friday D. Saturday
19. Find the first four terms of the sequence defined by an = 10(-3)n-1.
A. 10, -30, 90, -270
B. -30, -90, -270, -810
C. -30, 90, -270, 810
D. 10, -30, 60, -90
20. What type of function is represented by the graph below?
A. Absolute Value
B. Exponential
C. Linear
D. Quadratic
21. Which of the following represents a function?
x / -2 / 0 / 2 / 4y / -7 / 1 / 5 / 5
A. B. x = 3
C. D. 5 à -2
7 à 1
7 à 2
22. How is the graph of y = (x + 1)2 different from the graph of y = x2?
A. It is translated 1 unit up from y = x2.
B. It is translated 1 unit down from y = x2.
C. It is translated 1 unit to the right from y = x2.
D. It is translated 1 unit to the left from y = x2.
23. What is the range of the quadratic function y = x2 – 8x + 19?
A. y ≥ 0 B. y ≥ 3 C. y ≥ 4 D. y ≥ 19
24. For the graph of y = 3x, which statement is NOT true.
A. The y-intercept is (0 , 1).
B. The graph has an x-intercept.
C. As x increases, the graph continues to increase.
D. As x decreases, the graph continues to decrease.
25. A fast-growing strain of bacteria doubles in population every 20 minutes. A laboratory has a culture of 200 of these bacteria cells. The function, p = 200(8)t can be used to find p, the number of bacteria cells in this culture after t hours. Which of the following is closest to the total number of bacteria cells after 2 hours?
A. 3,200 B. 12,800 C. 51,200 D. 2,560,000
26. The average annual fuel consumption per car in the United States has decreased by about 2% per year since 1980, when it was about 591 gallons per car. What is the first full year the consumption drop below 500 gallons per car?
A. 1985 B. 1988 C. 1989 D. 1990
The price of a concert ticket was $50 last year, and the price this year is $60. Use this information to answer questions 27 and 28.
27. If the price of this ticket continues to grow exponentially, what will the price be two years from now?
a. $72 b. $80 c. $86.40 d. $103.68
28. If the price of this ticket continues to grow exponentially at the same rate, to the nearest year, how long will it take the price of the ticket to double (from the original price of $50)?
a. 3 years b. 4 years c. 5 years d. 6 years
29. On January 1, 2000, a car had a value of $15,000. Each year after that, the car's value will decrease by 20 percent of the previous year's value. Which expression represents the car's value on January 1, 2003?
A. 15,000(0.8)3 B. 15,000(0.8)4 C. 15,000(0.2)3 D. 15,000(0.2)4
30. State the domain of f(x) = 10x.
A. {x | x includes all real numbers} B. {x | x > 0}
C. {x | x 0} D. {x | x includes all integers}
31. Use f(x) = 250 (0.95) x to find f(3). Round to the hundredths place.
A. 225.63 B. 214.34 C. 203.63 D. 193.45
32. A bank pays 3% interest on savings accounts. What would the growth factor be for the exponential function?
A. 0.03 B. 0.30 C. 0.97 D. 1.03
33. The number of bacteria in a culture doubles each hour. Which graph below best represents this situation?
A. B.
C. D.
34. Which of the following is a geometric sequence?
A. 3, 6, 9, 12, . . . B. -100,-10, -1, -0.1, . . .
C. 3, 7, 11, 15, . . . D. 100, 90, 80, 70, . . .
35. If a geometric sequence has an initial value of 4 and a common ratio of 5, what is the 8th term of the sequence?
A. 20480 B. 62500 C. 312499 D. 312500
36. Find the first four terms of the sequence defined by a= 20(-4)(n-1) .
A. -20, 80, -320, 1280 B. 20, -80, 320, -1280
C. -80, -320, -1280, -5120 D. -80, 320, -1280, 5120
37. What are the zeros of the function to the right?
A. {-2, 4} B. {0, 2} C. {2, -4} D. {1, -9}
38. In the graph, what is the vertex of the function?
A. (2, 0) B. (-1, 7) C. (-4, 0) D. (7, -1)
39. Solve x2 – 7x = 8.
A. x = -1, 8 B. x = 0, -8 C. x = 0, 8 D. x = 1, -8
Use the situation below to answer questions #40 - 41.
The path of a ball is modeled by the function h(t) = -16t2 + 50t + 5 where t is the time in seconds and h is the height in feet.
40. What will the height of the ball be at 1 second?
A. 5 feet B. 16 feet C. 39 feet D. 50 feet
41. What is the maximum height the ball reaches? Round to the nearest foot.
A. 50 feet B. 44 feet C. 39 feet D. 16 feet
42. When does the ball hit the ground? Round to the nearest tenth.
A. 1.6 seconds B. 2.3 seconds C. 3.0 seconds D. 3.2 seconds
43. A baseball is hit into the air. The table below shows the height (y) of the ball after x seconds.
Time (seconds) / Height (feet)0 / 3
0.6 / 25.44
1 / 34
1.6 / 37.24
2 / 33
2.6 / 17.04
Which model best fits the data?
A. y = 5.4x + 17.93 B. y = -16x2 + 47x + 3
C. y = 9.6(1.72)x D. y = 5.4|x + 17.93|
44. Which equation translates y = one unit to the right and three units down.
A. y = B. y =
C. y = D. y =
45. Estimate the value of f(-2) using the graph below.
Assume the scale of the graph is one.
A. -2 B. -1
C. 1 D. 2
1. CROSS-COUNTRY TRAINING
Two high school students, Amber and Charice, are training for the cross country team. Amber decides that she will run 1000 meters the first week and every week after that she plans to increase her distance by 500 meters. This sequence shows how far she will run each week:
1000m 1500m 2000m 2500m 3000m 3500m
Charice decides that she will run 250m the first week and double her distance every week after that. This sequence shows how far she will run each week:
250m 500m 1000m 2000m 4000m 8000m
a. Is Amber’s sequence arithmetic or geometric?
b. Write an equation for the nth term of Amber’s sequence.
c. Is Charice’s sequence arithmetic or geometric?
d. Write an equation for the nth term of Amber’s sequence.
e. How far will Amber run during the 8th week of the season? Show your work.
f. How far will Charice run during the 8th week of the season? Show your work.
2. COMPUTER VALUE
The following table represents the value of a computer.
Age of Computer (Years) / 0 / 1 / 2 / 3 / 4Value / 1000 / 700 / 490 / 343 / 240.1
a. Graph the data using age as the independent variable and value as the dependent variable. Label your axis.
b. Find the equation that best fits the data. Which type of equation did you choose? Explain why.
c. Predict the value of the computer when it is 6 years old. Show your work.
d. If the computer has a value of $40, approximately how old is the computer? Show your work.
3. PET STORE POPULATION
The table below shows the white mouse population in a pet store.
Months / Population0 / 115
1 / 157
2 / 223
a. Graph this data. Label your axis.
b. Find a linear equation that is a model for the data.
c. Find an exponential equation that is a model for the data.
d. Which equation seems to be a better fit? Explain why.
e. Use the linear equation and table to estimate the number of mice in 12 months. Show your work.
f. Use the exponential equation and table to estimate the number of mice in 12 months. Show your work.
KEY
1. B
2. B
3. C
4. C
5. D
6. C
7. D
8. B
9. A
10. C
11. D
12. A
13. C
14. B
15. C
16. C
17. D
18. B
19. A
20. D
21. A
22. A
23. B
24. B
25. B
26. C
27. C
28. B
29. A
30. A
31. B
32. D
33. C
34. B
35. D
36. B
37. C
38. B
39. A
40. C
41. B
42. D
43. B
44. D
45. C