Test Bank for Julien’s Primer of Drug Action.pdf

COLLEGE ALGEBRA AND TRIGONOMETRY DATE 1. Match the set described in Column I with the correct interval 1. a. notation from Column II. Choices in Column II may be used once, more than once, or not at all. b. I II c. a. Domain of f (x)  x  3 A. (,) d. b. Range of f (x)  3 B. 3,  c. Domain of f  x  x 2 16 C. 0, 2 e. d. Range of y  2x 2 D. 0,  e. Domain of f (x)  E. 3, 3 f. f. Range of f (x)   2 F. , 2 g. Domain of f (x)  x  2 G. 3,  g. h. Range of f (x)  x  3 H. 7,  i. Domain of y  2s 2 h. j. Range of f  x  x 2  7 i. j. The graph shows the line that passes through the points (  5,  3) and (  1, 4). Refer to it to answer Exercises 2–6. 2. What is the slope of the line? 2. 3. What is the distance between the two points shown? 3. 4. What are the coordinates of the midpoint of the segment 4. joining the two points? 5. Find the standard form of the equation of the line. 5. 6. Write the linear function defined by has this line as its graph. f (x)  ax  b that 6. 3 x  2 CHAPTER 2, FORM A 55 .  5 7  Tell whether each graph is that of a function. Give the domain and the range. If it is a function, give the intervals where it is increasing, decreasing, or constant. 7. 7. 8. 8. 9. Suppose point P has coordinates  2 , 3  .   a. What is the equation of the vertical line through P? 9. a. b. What is the equation of the horizontal line through P? b. 10. Find the slope-intercept form of the equation of the line passing through (2, 5) and a. parallel to the graph of y  4x  7; 10. a. b. perpendicular to the graph of y  4x  7. b. Graph each relation. 11. x  2 y  3 1 11. CHAPTER 2, FORM A 56 .  3x 1 if x  0 12. 13. f  x  □ x□  2 f  x  2x 1 if x  0  12. 13. 14. Explain how the graph of y   1 2  5 can be obtained 14. from the graph of y  x. 15. Determine whether the graph of 2x 2  3y 2  1 is symmetric 15. a. with respect to b. a. the x-axis, c. b. the y-axis, c. the origin. Given f  x  x 2 1 and g  x  2x 1, find each of the following. Simplify the expressions when possible. 16.  fg x 17.  f  g x 18. the domain of g f 16. 17. 18. x  3 CHAPTER 2, FORM A 57 .   19. f  x  h  f  x h 19. 20.  f  g0 20. 21.  f  2  g  21. 22.  f ∘ g  x 23.  f ∘ g2 24.  g ∘ f  x 25.  g ∘ f 2 22. 23. 24. 25. CHAPTER 2, FORM B NAME x 3 x COLLEGE ALGEBRA AND TRIGONOMETRY DATE 1. Match the set described in Column I with the correct interval 1. a. notation from Column II. Choices in Column II may be used once, more than once, or not at all. b. I II c. a. Domain of f (x)  x  4 A. (,) d. b. Range of f (x)   2 B. 2,  c. Domain of f  x  3x 2 C. 0, 2 e. d. Range of f  x  x 2  5 D. 0,  e. Domain of f (x)  E. 3, 3 f. f. Range of f (x)  1 F. , 2 g. Domain of f (x)  x  2 G. 5,  g. h. Range of f (x)  x  5 H. 4,  i. Domain of x  2y 2 j. Range of x  2y 2 h. i. j. The graph shows the line that passes through the points (  2,  1) and (4,  3). Refer to it to answer Exercises 2–6. 2. What is the slope of the line? 2. 3. What is the distance between the two points shown? 3. 4. What are the coordinates of the midpoint of the segment 4. joining the two points? 5. Find the standard form of the equation of the line. 5. 6. Write the linear function defined by has this line as its graph. f (x)  ax  b that 6. 3 x  8 CHAPTER 2, FORM B   " " 1 Tell whether each graph is that of a function. Give the domain and the range. If it is a function, give the intervals where it is increasing, decreasing, or constant. 7. 7. 8. 8. Graph each relation. 9. f  x  2  3x 9. 10. c Ч f x  x " e 2 ff 10. CHAPTER 2, FORM B    8  9 11. 2x if x  3 11. f  x   4 if  3  x  2 x  4 if x  2 12. Suppose point P has coordinates  5 , 7  .   a. What is the equation of the vertical line through P? 12. a. b. What is the equation of the horizontal line through P? b. 13. Find the slope-intercept form of the equation of the line passing through 6, 3 and a. parallel to the graph of y  3x 12; 13. a. b. perpendicular to the graph of y  3x 12. b. 14. Explain how the graph of y   1 3  2 can be obtained 14. from the graph of y  x. 15. Determine whether the graph of y 2  3x is symmetric 15. a. with respect to b. a. the x-axis, c. b. the y-axis, c. the origin. Given f  x  2x 2  7x  6 and g  x  3x  2, find each of the following. Simplify the expressions when possible. 16.  fg x 17.  f  g x 18. the domain of g f 16. 17. 18. x  4 CHAPTER 2, FORM B   19. f  x  h   f  x  h 19. 20.  f  g   1  20. 21.  g   0   f  21. 22.  f ∘ g   x  23.  f ∘ g   1  24.  g ∘ f   x  25.  g ∘ f   1  22. 23. 24. 25. CHAPTER 2, FORM C NAME 62 x 3 x COLLEGE ALGEBRA AND TRIGONOMETRY DATE 1. Match the set described in Column I with the correct interval 1. a. notation from Column II. Choices in Column II may be used once, more than once, or not at all. b. I II c. a. Domain of f (x)  x  2 A. (,) d. b. Range of f (x)   4 B. 4,  c. Domain of f  x  x 2 1 C. 0, 2 e. d. Range of f  x  x 2 16 D. 0,  e. Domain of f (x)  E. 3, 3 f. f. Range of f (x)   2 F. , 3 g. Domain of f (x)  x  3 G. 1,  g. h. Range of f (x)  x  3 H. 2,  i. Domain of y  2x 2 h. j. Range of y  x 2  3 i. j. The graph shows the line that passes through the points (  3,  5) and (3,  2). Refer to it to answer Exercises 2–6. 2. What is the slope of the line? 2. 3. What is the distance between the two points shown? 3. 4. What are the coordinates of the midpoint of the segment 4. joining the two points? 5. Find the standard form of the equation of the line. 5. 6. Write the linear function defined by has this line as its graph. f (x)  ax  b that 6. 3 x  2 CHAPTER 2, FORM C Tell whether each graph is that of a function. Give the domain and the range. If it is a function, give the intervals where it is increasing, decreasing, or constant. 7. 7. 8. 8. 9. Suppose point P has coordinates 2 2,  5 . a. What is the equation of the vertical line through P? 9. a. b. What is the equation of the horizontal line through P? b. 10. Find the slope-intercept form of the equation of the line passing through (4, 2 ) and a. parallel to the graph of x  5 y  2; 4 b. perpendicular to the graph of x  5 y  2; 4 10. a. b. CHAPTER 2, FORM C  1 if x  2 Graph each relation. 11. 12. 13. f  x  1 x 1  2 2 f  x  □2x□  2 f  x  x 1 if x  2  11. 12. 13. CHAPTER 2, FORM C   14. Explain how the graph of y  3 x  4  2 can be obtained 14. from the graph of y  x . 15. Determine whether the graph of y  3x 2  7 is symmetric 15. a. with respect to b. a. the x-axis, c. b. the y-axis, c. the origin. Given f  x  3x 2  2 and g  x  4x  4, find each of the following. Simplify the expressions when possible. 16.  fg x 17.  g  f  x 16. 17. 18. 19. f (2) f  x  h  f  x h 18. 19. 20.  f  g0 20. 21.  f  2  g  21. 22.  f  g x 23.  f ∘ g  x 24.  g ∘ f  x 25.  g ∘ f 0 22. 23. 24. 25. CHAPTER 2, FORM D NAME x 3 x COLLEGE ALGEBRA AND TRIGONOMETRY DATE 1. Match the set described in Column I with the correct interval 1. a. notation from Column II. Choices in Column II may be used once, more than once, or not at all. b. I II c. a. Domain of f (x)  A. , 1 d. b. Range of f (x)  1 B. ,  c. Domain of f  x  x 2  25 C. 0, 2 e. d. Range of f  x  x 2 1 D. 0,  e. Domain of f (x)  E. 3, 3 f. f. Range of f (x)   2 F. 3,  g. Domain of f (x)  x  4 G. 1,  g. h. Range of f (x)  x  4 H. 4,  i. Domain of j. Range of y  2x 2 y  x 2  4 h. i. j. The graph shows the line that passes through the points (  7,  4) and (3,  2). Refer to it to answer Exercises 2–6. 2. What is the slope of the line? 2. 3. What is the distance between the two points shown? 3. 4. What are the coordinates of the midpoint of the segment 4. joining the two points? 5. Find the standard form of the equation of the line. 5. 6. Write the linear function defined by has this line as its graph. f (x)  ax  b that 6. x  1 3 x  2 CHAPTER 2, FORM D .  2x if x  0 Tell whether each graph is that of a function. Give the domain and the range. If it is a function, give the intervals where it is increasing, decreasing, or constant. 7. 7. 8. 8. Graph each relation. 9. 10. f  x  3  x 1 f  x  x if x  0  9. 10. CHAPTER 2, FORM D .   11. Suppose point P has coordinates 3, 2.1. a. What is the equation of the vertical line through P? 11. a. b. What is the equation of the horizontal line through P? b. 12. Find the slope-intercept form of the equation of the line passing through (1, 5 ) and a. parallel to the graph of x   3 y  5; 4 b. perpendicular to the graph of x   3 y  5; 4 12. a. b. 13. Find the slope of the line through points (11, 5 ) and ( 8 , 6). 13. from the graph of y  x. 14. Explain how the graph of y  3  2 can be obtained 14. from the graph of y  x. 15. Determine whether the graph of xy  4 is symmetric 15. a. with respect to b. a. the x-axis, c. b. the y-axis, c. the origin. Given f  x  2x 3  3x 1 and g  x  2x 1, find each of the following. Simplify the expressions when possible. 16.  f  g x 16. 17. 18. 19.  f   x  g  f 0 f  x  h  f  x h 17. 18. 19. 20.  g  f 0 21.  fg1 22.  f ∘ g  x 20. 21. 22. x  4 CHAPTER 2, FORM D . 23.  f ∘ g2 24.  g ∘ f  x 25.  g ∘ f 2 23. 24. 25. CHAPTER 2, FORM E NAME 70 3 26 202 COLLEGE ALGEBRA AND TRIGONOMETRY DATE Choose the best answer. 1a. Which of the following is the domain of f  x   x ? 1a. a. 0, 3 c. 3,  b. , 3 d. ,  1b. Which of the following is the range of f  x  x 2  49 ? 1b. a. 49,  c. 7, 7 b. 7,  d. 0,  1c. Which of the following is the domain of f  x  3 x  7 ? 1c. a. ,  c. 0,  b. , 6 d. 6,  1d. Which of the following is the range of f  x  x 1? 1d. a. 1,1 c. 0,  b. 0,1 d. 1, 1e. Which of the following is the domain of x  y 2 ? 1e. a. ,  c. 0,  b. 0,  d. , 0 The graph shows the line that passes through 5, 8 and 4, 3 . Refer to it to answer Exercises 2-6. 2. What is the slope of the line? 2. a.  13 7 c.  11 9 b. 11 9 d. 0 3. What is the distance between the two points shown? 3. a. b. 2 c. d. 5 122 CHAPTER 2, FORM E 71   4. What are the coordinates of the midpoint of the segment joining 4. the two points? a.   1 , 5 b.   9 , 11   2 2     2 2   c.   3 , 1  2 2 d. 1, 5 5. Find the standard form of the equation of the line. 5. a. 11x  9y  127 c. 11x  9y  17 b. 11x  9y  17 d. 11x  9 y  127 6. Find the standard form of the equation of the line. 6. a. f  x  11 x  17 b. 9 9 c. f  x  11 x  127 d. 9 9 f  x   11 x  17 9 9 f  x  11 x  127 9 9 Tell whether each graph is that of a function. Give the domain and range. 7. 7. a. Function; domain: 5, 7; range: 1, 3 b. Function; domain: ,  ; range: 1, 3 c. Function; domain: 1, 3; range: 5, 7 d. Not a function; domain: 5, 7; range: 1, 3 8. 8. a. Not a function; domain: ,  ; range: 2,  b. Not a function; domain: 5, 5 ; range: 3,  c. Function; domain: ,  ; range: 2,  d. Function; domain: ,  ; range: 3,  CHAPTER 2, FORM E 72 9. Suppose point P has coordinates 6,1 . 9. What is the equation of the horizontal line through P? a. x  6 c. x  1 b. y 1 d. y  6 10. Find the slope-intercept form of the equation of the line passing. 10. through 2, 5 perpendicular to the graph of y   1 x  19 . 8 4 a. y  8x  21 c. y  8x 13 b. y  1 x  3 3 d. y   1 x  3 3 Graph each function. 11. f  x  2 x 1  2 11. a. b. c. d. CHAPTER 2, FORM E 73   " "   1 12. c Ч f x  x " e 2 ff 12. a. b. c. d. 2 if x  2 13. f  x   1   2 x 1 if x  2 13. a. b. c. d. CHAPTER 2, FORM E 74 14. Explain how the graph of y  x  2  5 can be obtained from the 14. graph of y  x. a. Translate 2 unit to the right and 5 units up. b. Translate 2 unit to the right and 5 units down. c. Translate 2 unit to the left and 5 units up. d. Translate 2 unit to the left and 5 units down. 15. Determine the symmetries of the graph of the relation x 2  2xy  y 2  5. a. x-axis only b. y-axis only c. origin only d. x-axis, y-axis, and origin 15. Given f  x  5x  4 and g  x  x 2  3, find each of the following. Simplify the expressions when possible. 5     5     3     3   16.  fg x 16. a. x 3  4x 2 12 b. 5x 3  4x 2 15x 12 c. 5x 3  4x 2  3x 12 d. 5x 3  4x 2  5x 12 17.  g  f  x 17. a. x 2  5x  7 b. x 2  5x  7 c. x 2  5x 1 d. x 2  5x 1 18. The domain of g f 18. a.  , 4   4 ,   b.  , 5   5 ,     4     4   c.  , 1   1 ,   d. ,  19. f  x  h  f  x h 19. a. h b. 5 c. 5x  2h d. 5x  2h  4 20.  f  g1 a. 1 b. 5 20. c. 2 d. 5