Test bank for Brief Calculus An Applied Approach 9th Edition by Larson

Chapter 1: Functions, Graphs, and Limits Larson, Calculus: An Applied Approach (+Brief), 9e Page 1 1. Plot the points (–4, 2),(3, –3),(–5, –2),(4,0),(3, –4) in the Cartesian plane. A) B) C) Larson, Calculus: An App ...

Chapter 1: Functions, Graphs, and Limits Larson, Calculus: An Applied Approach (+Brief), 9e Page 1 1. Plot the points (–4, 2),(3, –3),(–5, –2),(4,0),(3, –4) in the Cartesian plane. A) B) C) Larson, Calculus: An Applied Approach, 9e Page 2 D) E) Larson, Calculus: An Applied Approach, 9e Page 3 Ans: C 2. Find the distance between the points (3, 4) and (7,7) . Round your answer to the nearest hundredth. A) 25.00 B) 2.65 C) 5.00 D) 14.87 E) 4.58 Ans: C 3. Find the midpoint of the line segment joining the points (5,1) and (7,7) . Round your answer to the nearest hundredth. A) (12, 28) B) (6, 4) C) (–1, –3) D) (3,7) E) none of these choices Ans: B Larson, Calculus: An Applied Approach, 9e Page 4 4. Find the length of each side of the right triangle from the following figure. A) a =15, b = 8, c =17 B) a =8, b =15, c =17 C) a = 17, b =–8, c =15 D) a =15, b =8, c =–17 E) a =15, b =15, c =17 Ans: A 5. Find x such that the distance between the points (5, 2) and ( ,8) x is 10. A) x = 13 or x = –13 B) x = –3 or x = 3 C) x = 13 or x = –3 D) x = –11 or x = 11 E) x = 15 or x = –15 Ans: C Larson, Calculus: An Applied Approach, 9e Page 5 6. Assume that the number (in millions) of basic cable television subscribers in the United States from 1996 through 2005 is given in the following table. Use a graphing utility to graph a scatter plot of the given data. Describe any trends that appear within the last four years. Year 1996 1997 1998 1999 2000 2001 2002 2003 2004 2 Subscribers 62.3 63.6 64.7 65.5 66.3 66.7 66.5 66.0 65.7 6 A) The number of subscribers appears to be increasing. B) The number of subscribers appears to be decreasing. C) Larson, Calculus: An Applied Approach, 9e Page 6 The number of subscribers appears to be linearly decreasing. D) The number of subscribers appears to be decreasing. E) Larson, Calculus: An Applied Approach, 9e Page 7 The number of subscribers appears to be linearly increasing. Ans: B Larson, Calculus: An Applied Approach, 9e Page 8 7. Assume that the number (in millions) of cellular telephone subscribers in the United States from 1996 through 2005 is given in the following table. Use a graphing utility to graph a line plot of the given data. Describe any trends that appear within the last four years. Year 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 Subscribers 200.5 195.1 192.9 185.3 146.6 125.6 102.5 76.7 65.9 57.3 A) The number of subscribers appears to be decreasing. B) The number of subscribers appears to be increasing. C) Larson, Calculus: An Applied Approach, 9e Page 9 The number of subscribers appears to be constant. D) The number of subscribers appears to be decreasing. E) Larson, Calculus: An Applied Approach, 9e Page 10 The number of subscribers appears to be increasing linearly. Ans: A Larson, Calculus: An Applied Approach, 9e Page 11 8. Assume that the median sales prices of existing one family homes sold (in thousands of dollars) in the United States from 1990 through 2005 are as given in the following figure. Use the following figure to estimate the percent increase in the value of existing one-family homes from 1997 to 1998. A) 0.021% B) 0.058% C) 2.06% D) 55.5% E) 5.8% Ans: E 9. Use the Midpoint Formula repeatedly to find the three points that divide the segment joining ( x y 1, 1 ) and ( x y 2, 2 )into four equal parts. A) 1 2 1 2 1 21 2 1 21 2 3 3 3 3 , ,, , , 2 2 44 4 4  xx y y xxy y x xy y + + ++ + +                  B) 1 2 1 2 1 21 2 1 21 2 3 3 3 3 , ,, , , 4 4 22 4 4  xx y y xxy y x xy y + + ++ + +                  C) 1 21 2 1 21 2 1 21 2 3 33 33 ,, , , , 22 4 4 4 4  xxy y x xy y x xy y ++ + + + +                  1 21 2 1 21 2 1 21 2 3 3 3 ,, , ,, 2 2 4 4 44  xxy y x xy y xxy y ++ + + ++                  D) 1 21 2 1 21 2 1 21 2 3 4 44 44 , ,, ,, 22 44 44  xxy y x xy y x xy y ++ + + + +                  E) 1 21 2 1 21 2 1 21 2 , ,, ,, 42 42 24   xxy y xxy y xxy y ++ ++ ++                 Ans: B Larson, Calculus: An Applied Approach, 9e Page 12 10. The red figure is translated to a new position in the plane to form the blue figure. Find the vertices of the transformed figure from the following graph. (In case your exam is printed in black and white - the red figure has one vertex at (0,0)). A) (–2,0),(–3, 2),(1,0) B) (–2,0),(–3, 2),(0,1) C) (–2,0),(–3,1),(0,1) D) (–2, –3),(–3, 2),(0,0) E) (–2,0),(–3,0),(0,1) Ans: B Larson, Calculus: An Applied Approach, 9e Page 13