MHR • Advanced Functions 12 Solutions 660

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Chapter 7 Section 3 Question 22 Page 386 This will occur when the line y = –x + c is tangent to the circle x 2 + y 2 = 1 and has a y-intercept above the x-axis. c = 1.41 f( x) = - x+ c AB: x2+ y2 = 12 5 4 3 2 1 -8 -6 -4 -2 A B 2 4 6 8 -1 y = –x + c intersects x 2 + y 2 = 1 at point P(x, y). The distance to P(x, y) is the radius of the circle r = 1 and x = y 1 = x 2 + x 2 1 = 2x 2 1 2 = x2 -2 x = 1 2 and y = 1 2 y = !x + c 1 2 = ! 1 2 + c c = 1 2 + 1 2 c = 2 2 c = 2 MHR • Advanced Functions 12 Solutions 703
Chapter 7 Section 3 Question 23 Page 386 k = -1 f( x) = x2 +k 2 1 -6 -4 -2 2 4 6 -1 -2 k = –1 MHR • Advanced Functions 12 Solutions 704
Page 1 and 2: Chapter 7 Tools and Strategies for
Page 3 and 4: c) x 2 + x !1 = 0 x = !1± 12 ! 4(1
Page 5 and 6: Chapter 7 Prerequisite Skills Quest
Page 7 and 8: Chapter 7 Section 1 Question 4 Page
Page 9 and 10: ) c) d) Chapter 7 Section 1 Questio
Page 11 and 12: Chapter 7 Section 1 Question 10 Pag
Page 17 and 18: Chapter 7 Section 2 Techniques for
Page 19 and 20: c) Answers may vary. A sample solut
Page 25 and 26: f) 4 x ! 3!18(4 ! x ) = 0 (4 x ) 2
Page 27 and 28: d) e) There is no zero so there is
Page 37 and 38: d) 2log w + 3log w + 1 2 log ! 1 $
Page 43: ) Let x = log b m and y = log b n b
Page 47 and 48: Chapter 7 Section 4 Techniques for
Page 51 and 52: Check: d) 1 = log( y + 9) ! log y "
Page 53 and 54: ! f) log p + 5 $ " # p +1% & = 3 p
Page 65 and 66: ) i) y &= 4.21x - 3.07 ii) y &= 0.8
Page 75 and 76: Chapter 7 Review Chapter 7 Review Q
Page 77 and 78: ! b) 0.05 = 1 $ " # 2% & t 5 log0.0
Page 79 and 80: Chapter 7 Review Question 7 Page 40
Page 81 and 82: Chapter 7 Review Question 13 Page 4
Page 83 and 84: d) i) A = 500(1.033) 2t + 500(0.01)
Page 85 and 86: Chapter 7 Practice Test Question 6
Page 87 and 88: d) Chapter 7 Practice Test Question
Page 89 and 90: Chapter 7 Practice Test Question 10
Page 91: e) i) y &= 95.67(0.96) 15 y &= 49.6

MHR • Advanced Functions 12 Solutions 660

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