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Year 11 Exponential functions and logarithms Page 1 of 28
CAMBRIDGE TECHNOLOGY IN MATHS
Year 11
Exponential functions and logarithms CONTENTS Example: Solving exponential equations 2 Example: Solving exponential inequations 3 Questions on solving exponential functions using a CAS calculator Examples: Graphing exponential functions 5 Questions on graphing exponential functions using a CAS calculator Evaluating logarithms using a CAS calculator 11 Examples: Graphs of y = loga x, where a > 1 13 Questions on graphing logarithmic functions using a CAS calculator Graphing sets of logarithms using a CAS calculator 20 Fitting data using a CAS calculator 22 Example: Graphing data from a table 24 Modelling exponential growth using a CAS calculator 26 Answers 27
Published in: Cambridge Queensland Mathematics B Year 11 © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 2 of 28
Example: Solving exponential equations
Original location: Ch 3 Example 10, 12 (p.103-105), Ex 3C Q5, 7-9 (p.106) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 3 of 28
Example: Solving exponential inequations
Original location: Ch 3 Example 10, 12 (p.103-105), Ex 3C Q5, 7-9 (p.106) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 4 of 28
Questions on solving exponential functions using a CAS calculator
Original location: Ch 3 Example 10, 12 (p.103-105), Ex 3C Q5, 7-9 (p.106) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 5 of 28
Examples: Graphing exponential functions
Original location: Ch 3 Example 16, 18 (p.109-116), Ex 3D Q1-4 (p.116) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 6 of 28
Original location: Ch 3 Example 16, 18 (p.109-116), Ex 3D Q1-4 (p.116) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 7 of 28
Original location: Ch 3 Example 16, 18 (p.109-116), Ex 3D Q1-4 (p.116) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 8 of 28
Original location: Ch 3 Example 16, 18 (p.109-116), Ex 3D Q1-4 (p.116) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 9 of 28
Original location: Ch 3 Example 16, 18 (p.109-116), Ex 3D Q1-4 (p.116) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 10 of 28
Questions on graphing exponential functions using a CAS calculator
Original location: Ch 3 Example 16, 18 (p.109-116), Ex 3D Q1-4 (p.116) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 11 of 28
Evaluating logarithms using a CAS calculator
Original location: Ch 3 Example 25 (p.122-123, 125) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 12 of 28
Original location: Ch 3 Example 25 (p.122-123, 125) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 13 of 28
Examples: Graphs of y = loga x, where a > 1
Original location: Ch 3 Examples 26-29 (p.127-136), Ex 3G Q5, 6, 8, 11 (p.138-139) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 14 of 28
Original location: Ch 3 Examples 26-29 (p.127-136), Ex 3G Q5, 6, 8, 11 (p.138-139) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 15 of 28
Original location: Ch 3 Examples 26-29 (p.127-136), Ex 3G Q5, 6, 8, 11 (p.138-139) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 16 of 28
Original location: Ch 3 Examples 26-29 (p.127-136), Ex 3G Q5, 6, 8, 11 (p.138-139) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 17 of 28
Original location: Ch 3 Examples 26-29 (p.127-136), Ex 3G Q5, 6, 8, 11 (p.138-139) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 18 of 28
Original location: Ch 3 Examples 26-29 (p.127-136), Ex 3G Q5, 6, 8, 11 (p.138-139) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 19 of 28
Questions on graphing logarithmic functions using a CAS calculator
Original location: Ch 3 Examples 26-29 (p.127-136), Ex 3G Q5, 6, 8, 11 (p.138-139) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 20 of 28
Graphing sets of logarithms using a CAS calculator
Original location: Ch 3 (p.136-137) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 21 of 28
Original location: Ch 3 (p.136-137) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 22 of 28
Fitting data using a CAS calculator
Original location: Ch 3 Example 31 (p.139-143) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 23 of 28
Original location: Ch 3 Example 31 (p.139-143) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 24 of 28
Example: Graphing data from a table
Original location: Ch 3 Example 31 (p.139-143) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 25 of 28
Original location: Ch 3 Example 31 (p.139-143) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 26 of 28
Modelling exponential growth using a CAS calculator
Original location: Ch 3 (p.144-145) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 27 of 28
Answers
Exponential function questions
Graphing exponentials questions
Original location: Answers (p.576-578) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press
Year 11 Exponential functions and logarithms Page 28 of 28
Graphing logarithms questions
Original location: Answers (p.576-578) © Joe Ousby, Ray Cross, Rick Bowman, Michael Evans, Kay Lipson, Doug Wallace 2008
See www.technologyinmaths.com.au for conditions of use
Cambridge University Press