MHF4U – Advanced Functions
Upcoming Evaluations:
Evaluation 
Topics 
Date 
Quiz #6 
Graphing and properties of logarithms (Dec 7 – 14) 
Tuesday, December 19 
UNIT TEST #5 
All of Unit 5 
Wednesday, January 10 
Unit 5: Exponential and
Logarithmic Functions
Date 
Topic/Learning goals 
Daily Work/Assignments 

Thu Dec 6 
Equations and Graphs of Exponential Functions To apply transformations to exponential functions, and discover
how to determine the equation of an exponential function given its graph. Click here for solutions to the lesson
handout Click here for an algorithm for finding equations of exponential functions given their graphs. 
p. 318 #1, 2, 7 Handout: Exponential Functions from Graphs Click here for answers 

Fri Dec 7 
Exponential Function Graphing Transformations and Inverse 
p. 368 #1 – 6, 10, 15 p. 375 #1, 6, 10, 11cde 

Mon Dec 10 
Intro to Logarithms To develop the notation for logarithms. Show how the graphs of exponential and logarithmic functions are related. 
p. 318 #5, 8, 19, 20 p. 328 #1 – 4, 6a, 8, 10, 11, 13, 14, 15 Note: For 15, answer is incorrect 

Tue Dec 11 
Solving Exponential Equations To review how to solve exponential equations where the bases
can be the same. Log Practice 
p. 368 #1 – 6, 10, 15 p. 375 #1, 6, 10, 11cde 

Wed Dec 12 
Transformations of Logarithms We will learn to find the equation of a general logarithmic function given its graph. 
p. 338 #1, 3 – 8, 13bc, 17, 20 Note: For 4b) the point (1, 0) should be at (0.5, 0) 

Thu Dec 13 
Power Law and Change of Base Formula We will develop the laws for working with logarithms. 
p. 347 #1 – 6, 9, 10, 15, 20 p. 375 #2, 3, 8, 15, 16, 20 

Fri Dec 14 
Product and Quotient Laws To use our knowledge of exponent laws to develop the product and
quotient laws for logarithms Click here for a sheet on proper notation! 
p. 384 #3 – 7, 9, 10 Note: Restrictions for 10d) are x<– 4 or
x>3 

Mon Dec 17 
Solving Exponential Equations using Logarithms We will learn to solve exponential equations where the bases are not the same and require logarithms to solve. 
p. 368 #7, 11, 12 p. 375 #4, 7, 11abf, 14, 20, 21 Note: For 14 the probability should be entered as a
decimal and not a percent 

Tue Dec 18 
Solving Logarithmic Equations We will solve logarithmic equations using the laws, and discuss
extraneous roots. Click here for the logarithm notation summary 
p. 391 #1 – 3, 5, 6, 9, 11a, 13 

Wed Dec 19 
Applications of Logarithms To apply our knowledge of logarithms to realworld situations involving intensity, ph, etc. 
p. 353 #1, 2, 6 – 12, 22 

Thu Dec 20 
Sketching General Logs and more Solving Logarithmic Equations To discover how to graph logarithmic functions with bases other than 10. We will review transformations and apply them to logarithmic functions. 
Handouts: Sketching Logarithmic Functions Click here for
answers Logarithmic Equations Practise *Solution for 7 is approx. 2391 years* 

Fri Dec 21 
Test Review – Day 1 To practice our skills with exponential and logarithmic
functions. 
p. 408 #1 – 5, 6a, 7 – 14, 16, 17 Handouts: Review: Exponential & Logarithmic
Functions Click here for extra practise with
logarithms 



Dec 22 – Jan 6 
HAVE A WONDERFUL AND RESTFUL BREAK!! (But for
those of you who can’t wait… Exam Review Package) 


Mon Jan 7 
Begin Final Unit?/Test Review – Day 3 
Review for Test 

Tue Jan 8 
Test Review – Day 4

Review for Tomorrow’s Test 

Wed Jan 9 
UNIT TEST #5 
UNIT TEST #5 Work on review for next unit p. 414 #1 – 5, 7 – 9, 11, 13, 14 