Exponential functions and logarithms€¦ · Questions on graphing exponential functions using a...

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

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

Example: Solving exponential inequations

Questions on solving exponential functions using a CAS calculator

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

Questions on graphing exponential functions using a CAS calculator

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

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

Questions on graphing logarithmic functions using a CAS calculator

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

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

Example: Graphing data from a table

Modelling exponential growth using a CAS calculator

Answers

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Exponential functions and logarithms€¦ · Questions on graphing exponential functions using a...

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Transcript of Exponential functions and logarithms€¦ · Questions on graphing exponential functions using a...

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