show work on white lined paper and return the assignment ... · Calculus Summer Assignment ____ 6....
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Calculus Summer Assignment Pablo Muñoz Ali Alavi Superintendent of Schools Supervisor of Mathematics Summer Math Assignment: The Passaic Public Schools Mathematics Department requests that students to com- plete a summer assignment. Students must show work on white lined paper and return the assignment to their math teacher by Wednesday, September 11, 2019. The assignment will count as a grade for the first marking period. Thank you and have a great summer. Division of Elementary and Secondary Education Phone: 973.470.5787 | Fax: 973.909.9156 | 101 Passaic Avenue, Passaic, NJ 07055 | [email protected]
Transcript of show work on white lined paper and return the assignment ... · Calculus Summer Assignment ____ 6....
Calculus Summer Assignment
Pablo Muñoz Ali Alavi Superintendent of Schools Supervisor of Mathematics
Summer Math Assignment:
The Passaic Public Schools Mathematics Department requests that students to com-plete a summer assignment. Students must show work on white lined paper and return the assignment to their math teacher by Wednesday, September 11, 2019. The assignment will count as a grade for the first marking period.
Thank you and have a great summer.
Division of Elementary and Secondary Education Phone: 973.470.5787 | Fax: 973.909.9156 | 101 Passaic Avenue, Passaic, NJ 07055 | [email protected]
Calculus Summer Assignment
Multiple Choice Identify the choice that best completes the statement or answers the question.
____ 1. Use the domain and range of each of the following relations to determine which is a function.
a.
b.
c. d.
____ 2. Which of the following graphs is a function? a. c.
b. d.
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Calculus Summer Assignment
____ 3. Which of the following graphs is a function? a. c.
b. d.
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Calculus Summer Assignment
____ 4. Which of the following graphs is a function? a. c.
b. d.
____ 5. Which of the following lines is not parallel to the graph of a. c. b. d.
Which graph is a scatter plot of the data from the table?
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Calculus Summer Assignment
____ 6. Countries with Ten or
More Nuclear Reactors Number of Nuclear
Reactors Power Generated
(Megawatts) United States 109 98,784 France 57 59,033 Japan 48 38,029 United Kingdom 35 11,909 Russia 29 19,843 Canada 22 15,755 Germany 21 22,657 Ukraine 15 12,679 Sweden 12 10,002 From The World Almanac and Book of Facts, 1995, s.v. “Energy - World Nuclear Power.” a.
c.
b.
d.
No. of Reactors
Pow
er G
en'd
(100
0 M
W)
20 40 60 80 100
20
40
60
80
100
No. of Reactors
Pow
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en'd
(100
0 M
W)
20 40 60 80 100
20
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No. of Reactors
Pow
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en'd
(100
0 M
W)
20 40 60 80 100
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No. of Reactors
Pow
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en'd
(100
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W)
20 40 60 80 100
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Calculus Summer Assignment
Determine which is the graph of the given function.
____ 7.
a.
c.
b.
d.
10 20–10–20 x
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20
–10
–20
y
10 20–10–20 x
10
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–10
–20
y
10 20–10–20 x
10
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–10
–20
y
10 20–10–20 x
10
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–10
–20
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Calculus Summer Assignment
____ 8.
a.
c.
b.
d.
10 20–10–20 x
10
20
–10
–20
y
10 20–10–20 x
10
20
–10
–20
y
10 20–10–20 x
10
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–10
–20
y
10 20–10–20 x
10
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–10
–20
y
Calculus Summer Assignment
____ 9.
a. c.
b. d.
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Calculus Summer Assignment
____ 10.
a. c.
b. d.
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Calculus Summer Assignment
____ 11.
a.
c.
b.
d.
10 20 30–10–20–30 x
10
20
30
–10
–20
–30
y
10 20 30–10–20–30 x
10
20
30
–10
–20
–30
y
10 20 30–10–20–30 x
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20
30
–10
–20
–30
y
10 20 30–10–20–30 x
10
20
30
–10
–20
–30
y
Calculus Summer Assignment
____ 12. Which is the graph of ? a. c.
b. d.
____ 13. The graph of the equation is symmetric with respect to which of the following? a. the line c. the x-axis b. the y-axis d. the line y = x
O x
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O x
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O x
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O x
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Calculus Summer Assignment
____ 14. The graph below is a portion of a complete graph. Which graph below is the complete graph assuming it is an even function?
a. c.
b. d.
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O x
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O x
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O x
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Calculus Summer Assignment
____ 15. One of the following functions is neither odd nor even. Which one?
a. c. b. d.
Which statement best describes a method that can be used to sketch the graph.
____ 16. y = |x + 1|
a. Translate the graph of y = |x| one unit up. b. Translate the graph of y = |x| one unit down. c. Translate the graph of y = |x| one unit left. d. Translate the graph of y = |x| one unit right.
____ 17. y = |x| + 1 a. Translate the graph of y = |x| one unit right. b. Translate the graph of y = |x| one unit left. c. Translate the graph of y = |x| one unit up. d. Translate the graph of y = |x| one unit down.
____ 18. y = |x - 2| a. Translate the graph of y = |x| two units left. b. Translate the graph of y = |x| two units down. c. Translate the graph of y = |x| two units right. d. Translate the graph of y = |x| two units up.
____ 19. y = |x| - 2 a. Translate the graph of y = |x| two units down. b. Translate the graph of y = |x| two units up. c. Translate the graph of y = |x| two units left. d. Translate the graph of y = |x| two units right.
____ 20. Which statement best describes how a graph of y = 3|x| is related to the parent graph? a. The graph is stretched vertically. c. The graph is shrunk vertically. b. The graph is stretched horizontally. d. The graph is shrunk horizontally.
Calculus Summer Assignment
Choose the inequality whose graph is shown.
____ 21.
a. c. b. d.
____ 22.
a. c. b. d.
10–10 x
10
–10
y
10–10 x
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–10
y
Calculus Summer Assignment
____ 23.
a. c. b. d.
____ 24.
a. c. b. d.
10–10 x
10
–10
y
6–6 x
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–6
y
Calculus Summer Assignment
____ 25. The graph of a function f is illustrated below. What is the graph of the inverse function of f?
a. c.
b. d.
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Calculus Summer Assignment
____ 26. Which statement is true for the graph of a. is a relative minimum; is a relative maximum b. is a relative minimum; is a relative maximum c. is a relative minimum; is a relative maximum d. is a relative minimum; is a relative maximum
____ 27. Which is a graph of with any vertical or horizontal asymptotes indicated by dashed lines?
a. c.
b. d.
____ 28. Solve . a. 2i, – 2i, –2 c. i, – i, –2 b. i, – i, –2 d. 2i, – 2i, –2
____ 29. Use the remainder theorem to find which of the following is not a factor of . a. c. b. d.
O 10–10 x
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–10
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–10
y
O 10–10 x
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–10
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O 10–10 x
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–10
y
-2 -2 -2 -22 2 2 2
Calculus Summer Assignment
____ 30. Smallville’s town council has records of the town’s budget over a 10-year period. Year 1990 1991 1992 1993 1994 Budget ($1000s) 265.1 277.5 288.9 303.0 311.3 Year 1995 1996 1997 1998 1999 Budget ($1000s) 320.4 334.5 351.2 368.2 381.7 Which model relates the budget as a function of the number of years since 1900? What does the model predict the town’s budget will be in the year 2001, and what year does the model predict the town’s budget will exceed $400,000? a.
$402,800; during the year 2001 b.
$411,100; during the year 2000 c.
$411,000; during the year 2002 d.
$402,820; during the year 2001
____ 31. Corky’s Dairy has shown a steady increase in milk production over a 10-year period. Year 1990 1991 1992 1993 1994 Milk (million gal) 1.89 1.93 1.98 2.04 2.12 Year 1995 1996 1997 1998 1999 Milk (million gal) 2.17 2.23 2.28 2.35 2.40 Which model relates milk production as a function of the number of years since 1990? How many gallons of milk will be produced in the year 2001, and what year will milk production exceed 3 million gallons of milk? a.
2.51 million gal; during the year 2009 b.
2.52 million gal; during the year 2010 c.
2.37 million gal; during the year 2013 d.
2.73 million gal; during the year 2011
Calculus Summer Assignment
____ 32. Rocky Ridge Observatory has records of comet sightings over a 10-year period. Year 1990 1991 1992 1993 1994 Comet Sightings 72 75 79 83 89 Year 1995 1996 1997 1998 1999 Comet Sightings 92 98 105 110 114 Which model relates the number of comets sighted as a function of the number of years since 1900? How many comets will be sighted in the year 2001, and what year will comet sightings exceed 150? a.
123; during the year 2007 b.
124; during the year 2006 c.
126; during the year 2006 d.
123; during the year 2006
Calculus Summer Assignment
____ 33. Graph the function. Which choice gives the amplitude, period, phase shift, and vertical shift for the function?
a.
4; ; – ; 4
c.
4; ; – ; 4
b.
4; ; – ; 4
d.
4; ; – ; –4
O–2p 2pq
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–10
y
23
14
O–2p 2pq
10
–10
y
23
14
O–2p 2pq
10
–10
y
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O–2p 2pq
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–10
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Calculus Summer Assignment
____ 34. Which sum or difference identity would you use to verify that cos (180° - q) = -cos q? a. sin (a -b) = sin a cos b – cos a sin b b. cos (a -b) = cos a cos b – sin a sin b c. cos (a -b) = cos a cosb + sin a sin b d. sin (a + b) = sin a cos b + cos a sin b
____ 35. Which sum or difference identity would you use to verify that sin (90° + q) = cos q? a. cos (a -b) = cos a cos b + sin a sin b b. sin (a +b) = sin a cos b + cos a sin b c. sin (a -b) = sin a cos b- cos a sin b d. cos (a +b) = cos a cos b - sin a sin b
____ 36. Which double-angle or half-angle identity would you use to verify that ?
a.
c.
b.
d.
____ 37. Which double-angle or half-angle identity would you use to verify that ?
a.
c.
b.
d.
____ 38. Which is the standard form of the equation with ?
a. – c. + 52 b. – + 52 d. + 52
2 2 22 2 2
Calculus Summer Assignment
____ 39. Which of the following is the graph of a. c.
____ 40. Based on the given information, what can you conclude, and why? Given:
a. by ASA c. by ASA b. by SAS d. by SAS
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