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(1)Math II Exam Review - Functions & Systems. 1.. Name:. Which of the following graphs is a function?. 5.. This equation represents what type of function? y = jx. A.. 4j + 2. B.. 6.. A.. linear. B.. exponential. C.. absolute value. D.. cubic. This equation represents what type of function? y=. C.. D.. 1 3 x + 5x 2. none of these. 7.. A.. linear. B.. quadratic. C.. absolute value. D.. cubic. This equation represents what type of function? y = 4x+1. 2.. A.. 9. C.. B.. quadratic. C.. exponential. D.. cubic. A.. f (x) = x 4 + x + 11. B.. f (x) = 5x 2. C.. f (x) = x 3. D.. f (x) = 47. B. B.. U. C.. 7x + 12. 8 x. What is the domain of the given relation? f(2; 2); (3; 2); (2; 3); (1; 4)g. Which letter, when drawn on the coordinate plane, could represent a function? A.. Which of the following is a quadratic function?. D.. 10.. 4.. linear. B. 8.. 3.. A. Which of the following graphs is not a function?. Q. D.. T. 11.. Which sentence best explains why a circle is not a function?. A.. f2; 3; 4g. B.. f1; 2; 3g. C.. f1; 2; 3; 4g. D.. f2; 3g. State the domain and range of the function y = 3x. 2.. A.. x 2 IR and y 2 IR. B.. x 2 IR and y > 0. C.. x 6= 0 and y 6= 0. D.. x 2 IR and y > 2. State the domain and range of the function y = A.. x. 2 and y. 0. C.. x 2 IR and y 2 IR. p. x. 2. B.. x 6= 0 and y 6= 0. D.. x 6= 3 and y 2 IR. A.. You can draw a horizontal line through it.. B.. There are an in nite number of points on a circle.. C.. There are at least 2 points on the circle with the same x-coordinate.. A.. x 2 IR and y > 0. B.. x 2 IR and y 2 IR. A circle is symmetric.. C.. x > 0 and y 2 IR. D.. x > 0 and y > 0. D.. 12.. page 1. State the domain and range of the function y = 2x.

(2) 13.. What is the domain of the function? f (x) = 7. 14.. 18.. 3 x. How many solutions are shown by the graph of the quadratic function?. 2. A.. all real numbers. B.. all real numbers less than or equal to 7. C.. all real numbers except 2. D.. all real numbers except 7. What is the range of the function f (x) = 3x + 2 when the domain is f 2; 1; 2g? A.. f 4; 1; 6g. B.. f 8; 5; 8g. C.. f 4; 1; 8g. D.. f 4; 1; 4g. A.. 19. 15.. 16.. $523.30. Find P(. 1 ) 2. B.. $367.50. C.. given that P(x) = 2x 3. $247.60. 5x 2 + 6x. D.. B.. one. C.. two. D.. three. The table contains values for x and y in a quadratic function.. The equation p(n) = 12 n2 17 represents the overall pro t from 5 production for a company where p is the total pro t in dollars and n is the number of hours per day that the production line operates. Determine the pro t when n = 10 21 hours. A.. zero. $856.00. 5.. x. y. 3 2 1 0 1 2 3. 12 0 8 12 12 8 0. What are the roots of the function? 17.. How many solutions are shown by the graph of the quadratic function?. A. C.. 20.. A.. zero. B.. one. C.. two. D.. three. page 2. 0 and. 12. 12, 0 and 1. B.. 12,. 2 and 3. D.. 2 and 3. Which is not true of the parabola?. A.. the y-intercept is (0; 1). B.. the x-intercept is (1; 0). C.. the axis of symmetry is y = 1. D.. the axis of symmetry is x = 1. Math II Exam Review - Functions & Systems.

(3) 21.. What type of function has the possibility of no x-intercepts? I.. 28.. If 4x. 2. = 8x+1 , then what is the value of x ?. linear A.. 7. B.. 1. C.. 1. D.. 7. II. quadratic III. absolute value. 29.. A.. I only. B.. III only. C.. I and II only. D.. I, II, and III. Compare the graph for g(x) and the table for h(x). Which has the smaller range? x. 22.. h(x). 4. 5. 3. 4. 0. 1. 2. 2. 3. 4. Let f (x) be the function with the graph shown. a) For what approximate value(s) of x is f (x) = 0?. A.. g(x); f 3; 2; 0; 2; 4g. B.. g(x); f 2; 1; 0; 1; 3g. b) For what approximate value(s) of x is f (x) = 1?. C.. h(x); f 4; 3; 0; 2; 3g. D.. h(x); f 4; 1; 2; 4; 5g. c) For what approximate value(s) of x is f (x) > 0? 30. 23.. Given the graph for one quadratic function and the table of values for another, determine which has a smaller minimum.. Sketch the graph of a square root function. x. 24.. Sketch the graph of an absolute value function.. 25.. Which one of the following sketches is a reasonable graph of y = 2x 3? B.. A.. C.. 35. 2. 21. 1. 11. 0. 5. 1. 3. 2. 5. 3. 11. A.. g(x), minimum = 3. B.. g(x), minimum =. 3. C.. f (x), minimum =. D.. f (x), minimum =. 5. 3. D.. 26.. Find the coordinates of the point at which the graph if y = 2x intersects the y-axis.. 27.. If 93x = 27x+9 , then what is the value of x ? A.. g(x). 3. 2 3. B.. 2 3. C.. 3 2. D.. 9. page 3. Math II Exam Review - Functions & Systems.

(4) 31.. Given the graph below for f (x) and the equation g(x) = 2x 2 + 4x 3, which has the greater maximum?. 33.. 34.. 35.. 32.. A.. g(x); maximum =. C.. f (x); maximum = 3. 1. B.. f (x); maximum =. D.. g(x); maximum = 5. $2:25. 9. $3:65. 12. $4:70. 15. $5:75. 36.. Cost. 37.. Draw the relationship on the grid provided.. 38.. 39.. Another bakery sells bagels at the following prices. I.. 3) is equivalent to:. A.. 3x 2. 9x + 9. B.. 3x 2. 18x. C.. 3x 2. 18x + 27. D.. 3x 2. 9x + 18. 4a2 + 4a. If f (x) = x 2 + x. 2, nd 4f ( a).. A.. 4a2. 4a. 8. B.. C.. 4a2. 4a + 8. D.. If f (x) = 3x 2 A.. 3x 2 + 9x. C.. f (x). 27. 3, then f (x 9. f ( 2). 8. 4a2 + 4a + 8. 3) + f (1) is equivalent to: B.. 3x 3. 6. D.. f (x. 3). 1. A bakery sells bagels at the following prices. Number of Bagels 5. If f (x) = 3x 2 , then f (x. If f (x) = (2x. 3)2 and g(x) = 2x 2 + x. 1, nd f (x) + g(x).. A.. 5x 2. 10x + 7. B.. 6x 2. 10 + 9. C.. 6x 2. 11x + 8. D.. 6x 2. 10x + 8. Find 2f (x) 3g(x), given f (x) = 2x 2 3x +1 and g(x) = x 2 +10x +5 . A.. x2. 36x. 13. B.. 7x 2 + 24x + 17. C.. x 2 + 30x. 13. D.. x2. 36x. 17. If f (x) = 2x + 1 and g(x) = x 2 + 2x + 1, nd f (g(x)). A.. x 2 + 2x + 3. B.. 2x 2 + 4x + 3. C.. 4x 2 + 2x + 2. D.. 4x 2 + 8x + 4. If f (x) = 2x + 1 and g(x) = x 2 + 2x + 1, nd g(f (x)). A.. 4x 2 + 8x + 4. B.. 16x 2 + 8x + 4. C.. 16x 2 + 8x. D.. 4x 2. 4. 8x + 4. 3 bagels for $1.45 40.. II. 8 bagels for $3.00 III. 11 bagels for $10.55. If f (x) = 2x and g(x) = x A.. 2. B.. 0. 4, what is the value of f (g(3))? C.. 2. D.. 6. IV. 15 bagels for $6.50 Which of these are good deals compared to the rst bakery? A.. I and II only. B.. III only. C.. II, III and IV only. D.. all are good deals. page 4. Math II Exam Review - Functions & Systems.

(5) 41.. Let f (x) = x 2 and g(x) be f (x) re ected over the x-axis and translated to the left 7 units. Which table represents this translation? A.. C.. 42.. x. g(x). 0 1 2. 49 36 25. x. g(x). 0 1 2. 49 64 81. B.. D.. x. g(x). 0 1 2. 7 8 11. x. g(x). 0 1 2. 7 6 3. 46.. 47.. 48.. Which statement describes the e ect on the vertex of the parabola y = x 2 3, if the equation is changed to y = x 2 + 5 ? A.. The vertex is translated upward 5 units.. B.. The vertex is translated upward 8 units.. C.. The vertex is re ected downward 2 units.. D.. The vertex does not change its position.. If the function y = jx j + 2 is shifted to the right 3 units, what is the new equation? A.. y=. jx j. 1. B.. y=. jx + 3j + 2. C.. y=. jx j + 5. D.. y=. jx. If the given function y = (x + 2)2 1 is shifted up 3 units, which equation describes the new function? A.. y = (x + 2)2 + 2. B.. y = (x. C.. y = (x + 5)2. D.. y = 3(x + 3)2. 1. 1)2. 1 1. p Given f (x) = x. The following is a table of values for g(x), which is a translation of f (x). x. g(x). 3 2 1. 0 1 2. Based on the values in the table, g(x) = A.. 43.. 3j + 2. f (x + 3). B.. f (x. 3). C.. f (x) + 3. D.. f (x). 3. 1 1 Let f (x) = and g(x) = . x (x + 3) 49.. Describe the transformation from f (x) to g(x).. Find the point of intersection of the lines: y = 4x + 1 and y = 2x + 4. A.. translated 3 units to the right. B.. translated 3 units up. C.. translated 3 units to the left. D.. translated 3 units down. A.. 50.. p p 44. Let f (x) = x and g(x) = x + 4. Which of the following statements is true about the graphs of the functions?. 45.. A.. g(x) is f (x) translated 4 units to the left. B.. g(x) is f (x) translated 4 units to the right. C.. g(x) has the same domain as f (x). D.. g(x) has the same range as f (x). 51.. A.. Horizontal translation to the right 3 units. B.. Horizontal translation to the left 3 units. C.. Vertical translation 3 units up. D.. Vertical translation 3 units down. (1; 2). 1 ;3 2. C.. 1 ;2 4. D.. A.. an in nite set of solutions. B.. two solutions only. C.. one solution only. D.. no solution. The method of substitution is likely the best method for which system? A.. 4x 2y = 1 4x + 2y = 2. B.. C.. 4x + y = 8 5x + 2y = 4. D.. 5x + 2y = 6 3x + 2y = 5 6x + 8y = 7 2x 4y = 3. How many points of intersection are there between the graphs of y = x 2 + 3 and y = 1? A.. page 5. B.. The set of equations x + 2y = 4 and 2x + 4y = 10 has .. If f (x) = 2x 3 7x 2 + 8 is transformed into the graph of g(x) = 2x 3 7x 2 + 11, which of the following describes the transformation? 52.. (2; 9). 1. B.. 2. C.. 3. D.. 4. Math II Exam Review - Functions & Systems.

(6) 53.. How many real solutions does this system have?. 57.. x 2 + y 2 = 25 x 3y = 15 A.. 1. B.. 2. C.. 4. D.. 0 58.. 54. If ( 1; 4) is a solution to the system ax + by = 2 ax by = 6. Which equation shows that p varies inversely as q ? A.. p = 10q. B.. pq = 10. C.. p = 10 + q. D.. q = p2 + 10. If x varies inversely as y and x = 12 when y = 3, what is the value of x when y = 9? A.. 36. B.. 1 3. C.. 1 4. D.. 4. then the values of a and b are: 59. A.. 55.. 56.. 2 and. 1. B.. 2 and 1. C.. 1 and. 2. D.. 2 and. 1 8. Given the parabola y = x 2 + 4x + 4 and the line y = x + 2. What are the points of intersection? A.. (1; 1), ( 2; 0). B.. ( 1; 1), ( 2; 0). C.. (0; 2), ( 1; 1). D.. (1; 3), (2; 4). y varies inversely as x, and y = 45 when x = 7. which equation models this. A) y =. C) y =. x 315 315 x. B) y =. When rice is prepared, the amount of rice varies directly as the amount of water required. If 2 cups of rice requires 4.5 cups of water, what is the total number of cups of water needed to prepare 5 cups of rice? A.. 60.. Determine. B.. 10. C.. 11.25. D.. 22.5. To balance a seesaw, the distance, in feet, a person is from the fulcrum is inversely proportional to the person's weight, in pounds. Bill, who weighs 150 pounds, is sitting 4 feet away from the fulcrum. If Dan weighs 120 pounds, how far from the fulcrum should he sit to balance the seesaw? A.. 1 315x. 9. 4.5 ft. B.. 3.5 ft. C.. 3 ft. D.. 5 ft. D) y = 315x. page 6. Math II Exam Review - Functions & Systems.

(7) Problem-Attic format version 4.4.210 c 2011–2014 EducAide Software _ Licensed for use by [email protected] Terms of Use at www.problem-attic.com Math II Exam Review - Functions & Systems. 06/30/2014. 1. Answer: Objective:. C F.IF.01. 14. Answer: Objective:. C F.IF.02. 2. Answer: Objective:. C F.IF.01. 15. Answer: Objective:. C F.IF.02. 3. Answer: Objective:. B F.IF.01. 16. Answer: Objective:. F.IF.02. 4. Answer: Objective:. C F.IF.01. 17. Answer: Objective:. B F.IF.04. 5. Answer: Objective:. C F.IF.01. 18. Answer: Objective:. A F.IF.04. 6. Answer: Objective:. D F.IF.01. 19. Answer: Objective:. D F.IF.04. 7. Answer: Objective:. C F.IF.01. 20. Answer: Objective:. C F.IF.04. 8. Answer: Objective:. B F.IF.01. 21. Answer: Objective:. D F.IF.04. 22. Answer:. (a) x = 3,. 9. Answer: Objective: 10. Answer: Objective:. B F.IF.01 A F.IF.01. 11. Answer: Objective:. A F.IF.01. 12. Answer: Objective:. A F.IF.01. 13. Answer: Objective:. C F.IF.01. 19 2. 1, 1, 4. (b) x = 2, 3 Objective:. (c) x < 3, F.IF.04. 23. Answer: Objective:. [graph] F.IF.07B. 24. Answer: Objective:. [graph] F.IF.07B. 25. Answer: Objective:. D F.IF.07E. 26. Answer: Objective:. (0; 1) F.IF.07E. 1 < x < 1, x > 4.

(8) Teacher's Key 27. Answer: Objective:. D F.IF.08B. 42. Answer: Objective:. B F.BF.03. 28. Answer: Objective:. A F.IF.08B. 43. Answer: Objective:. C F.BF.03. 29. Answer: Objective:. B F.IF.09. 44. Answer: Objective:. C F.BF.03. 30. Answer: Objective:. D F.IF.09. 45. Answer: Objective:. C F.BF.03. 31. Answer: Objective:. C F.IF.09. 46. Answer: Objective:. D F.BF.03. 32. Answer: Objective:. A F.IF.09. 47. Answer: Objective:. A F.BF.03. 33. Answer: Objective:. C F.BF.01B. 48. Answer: Objective:. A F.BF.03. 34. Answer: Objective:. A F.BF.01B. 49. Answer: Objective:. C A.REI.06. 35. Answer: Objective:. D F.BF.01B. 50. Answer: Objective:. D A.REI.06. 36. Answer: Objective:. C F.BF.01B. 51. Answer: Objective:. C A.REI.06. 37. Answer: Objective:. A F.BF.01B. 52. Answer: Objective:. B A.REI.07. 38. Answer: Objective:. B F.BF.01C. 53. Answer: Objective:. B A.REI.07. 39. Answer: Objective:. A F.BF.01C. 54. Answer: Objective:. B A.REI.06. 40. Answer: Objective:. A F.BF.01C. 55. Answer: Objective:. B A.REI.07. 41. Answer: Objective:. C F.BF.03. 56. Answer: 57. Answer:. B. Page 2.

(9) Teacher's Key 58. Answer:. D. 59. Answer:. C. 60. Answer:. D. Page 3.

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