Thank you and have a great summer.

Transcription

1 Pablo Muñoz Superintendent of Schools Ali Alavi Supervisor of Mathematics Summer Math Assignment: The Passaic Public Schools Mathematics Department requests that students to complete a summer assignment. Students must show work on white lined paper and return the assignment to their math teacher b Wednesda, September 12, 18. The assignment will count as a grade for the first marking perio Thank ou and have a great summer. Division of Elementar and Secondar Education Phone: Fa: Passaic Avenue, Passaic, NJ aalavi@passaicschools.org

2 Multiple Choice Identif 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. 2. Which of the following graphs is a function? a. b.

3 3. Which of the following graphs is a function? a. b.

4 4. Which of the following graphs is a function? a. b. 5. Which of the following lines is not parallel to the graph of a. b. Which graph is a scatter plot of the data from the table?

5 6. Countries with Ten or More Nuclear Reactors Number of Nuclear Reactors Power Generated (Megawatts) United States 9 98,784 France 57 59,033 Japan 48 38,029 United Kingdom 35 11,909 Russia 29 19,843 Canada 22 15,755 German 21 22,657 Ukraine 15 12,679 Sweden 12,002 From The World Almanac and Book of Facts, 1995, s.v. Energ - World Nuclear Power. a. Power Gen'd (00 MW) Power Gen'd (00 MW) No. of Reactors b No. of Reactors Power Gen'd (00 MW) Power Gen'd (00 MW) No. of Reactors No. of Reactors

6 Determine which is the graph of the given function. 7. a. b.

7 8. a. b.

8 9. a. b.

9 . a. b.

10 11. a b

11 12. Which is the graph of? a. b. 13. The graph of the equation is smmetric with respect to which of the following? a. the line the -ais b. the -ais the line =

12 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. b.

13 15. ne of the following functions is neither odd nor even. Which one? a. b. Which statement best describes a method that can be used to sketch the graph. 16. = + 1 a. Translate the graph of = one unit up. b. Translate the graph of = one unit down. Translate the graph of = one unit left. Translate the graph of = one unit right. 17. = + 1 a. Translate the graph of = one unit right. b. Translate the graph of = one unit left. Translate the graph of = one unit up. Translate the graph of = one unit down. 18. = 2 a. Translate the graph of = two units left. b. Translate the graph of = two units down. Translate the graph of = two units right. Translate the graph of = two units up. 19. = 2 a. Translate the graph of = two units down. b. Translate the graph of = two units up. Translate the graph of = two units left. Translate the graph of = two units right.. Which statement best describes how a graph of = 3 is related to the parent graph? a. The graph is stretched verticall. The graph is shrunk verticall. b. The graph is stretched horizontall. The graph is shrunk horizontall.

14 Choose the inequalit whose graph is shown. 21. a. b. 22. a. b.

15 23. a. b a. b.

16 25. The graph of a function f is illustrated below. What is the graph of the inverse function of f? a. b.

17 26. Which statement is true for the graph of a. is a relative minimum; is a relative maimum b. is a relative minimum; is a relative maimum is a relative minimum; is a relative maimum is a relative minimum; is a relative maimum 27. Which is a graph of with an vertical or horizontal asmptotes indicated b dashed lines? a. b. 28. Solve. a. 2 2i, 2 2i, 2 2 i, 2 i, 2 b. 2 i, 2 i, 2 2 2i, 2 2i, Use the remainder theorem to find which of the following is not a factor of. a. b.

18 30. Smallville s town council has records of the town s budget over a -ear perio Year Budget ($00s) Year Budget ($00s) Which model relates the budget as a function of the number of ears since 1900? What does the model predict the town s budget will be in the ear 01, and what ear does the model predict the town s budget will eceed $400,000? a. $402,800; during the ear 01 b. $411,0; during the ear 00 $411,000; during the ear 02 $402,8; during the ear Cork s Dair has shown a stead increase in milk production over a -ear perio Year Milk (million gal) Year Milk (million gal) Which model relates milk production as a function of the number of ears since 1990? How man gallons of milk will be produced in the ear 01, and what ear will milk production eceed 3 million gallons of milk? a million gal; during the ear 09 b million gal; during the ear 2.37 million gal; during the ear million gal; during the ear 11

19 32. Rock Ridge bservator has records of comet sightings over a -ear perio Year Comet Sightings Year Comet Sightings Which model relates the number of comets sighted as a function of the number of ears since 1900? How man comets will be sighted in the ear 01, and what ear will comet sightings eceed 150? a. 123; during the ear 07 b. 124; during the ear ; during the ear ; during the ear 06

20 33. Graph the function. Which choice gives the amplitude, period, phase shift, and vertical shift for the function? a. 2 π 2 π θ 2 π 2 π θ b ; ; ; ; ; ; π 2 π θ 2 π 2 π θ 2 1 4; ; ; ; ; ; 4 3 4

21 34. Which sum or difference identit would ou use to verif that cos (180 θ) = cos θ? a. sin (α β) = sin α cos β cos α sin β b. cos (α β) = cos α cos β sin α sin β cos (α β) = cos α cosβ + sin α sin β sin (α + β) = sin α cos β + cos α sin β 35. Which sum or difference identit would ou use to verif that sin (90 + θ) = cos θ? a. cos (α β) = cos α cos β + sin α sin β b. sin (α +β) = sin α cos β + cos α sin β sin (α β) = sin α cos β cos α sin β cos (α +β) = cos α cos β sin α sin β 36. Which double-angle or half-angle identit would ou use to verif that? a. b. 37. Which double-angle or half-angle identit would ou use to verif that? a. b. 38. Which is the standard form of the equation with? a b

22 39. Which of the following is the graph of a. 40. Based on the given information, what can ou conclude, and wh? Given: I K J H L a. b ASA b ASA b. b SAS b SAS