MHF4U – Advanced Functions

 

                                             Link to RHHS Math Page

 

Unit 5:  Exponential and Logarithmic Functions

Date

Topic/Learning goals

Daily Work/Assignments

 

Tue May 15

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 an algorithm for finding equations of exponential functions given their graphs.

 

We will use our knowledge of inverses to graph inverses of exponential functions.

Handout: Exponential Functions from Graphs

Click here for answers

p. 318 #1, 2, 5, 7, 8, 19, 20

 

Wed May 16

Solving Exponential Equations

To review how to solve exponential equations where the bases can be the same.

p. 368 #1 – 6

p. 375 #1, 6, 10, 11cde

 

Thu May 17

Intro to Logarithms

To develop the notation for logarithms.  Show how the graphs of exponential and logarithmic functions are related.

p. 328 #1 – 4, 6a, 8, 10, 11, 13, 14

 

Fri May 18

Transformations of Logarithms

We will learn to find the equation of a general logarithmic function given its graph.

p. 338 #1, 2, 3cd, 4 – 8, 13bc, 17, 20

 

Tue May 22

Laws of Logs

Power Law and Change of Base Formula

Product and Quotient Laws

 

We will develop the laws for working with logarithms.

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. 347 #1 – 6, 9, 10, 15, 20

p. 375 #2, 3, 8, 9, 13, 15, 16

p. 384 #3 – 7, 9, 10

 

Wed May 23

 

Quiz

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. 375 #4, 7, 11abf, 14, 20, 21

 

Thu May 24

Solving Logarithmic Equations

We will solve logarithmic equations using the laws, and discuss extraneous roots.

 

Click here for the logarithm notation summary

Review Sheet ( do not need to work on the application sections)

p. 391 #1 – 3, 5, 6, 9, 11a, 13

 

Fri May 25

Applications of Logarithms

To apply our knowledge of logarithms to real-world situations involving intensity, ph, etc.

p. 353 #1, 2, 6 – 12, 22

p. 368 #7, 10 – 12, 15

 

Mon May 28

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 Practice

*Solution for 7 is approx. 2391 years*

 

Tue May 29

Test Review – Day 1

To practice our skills with exponential and logarithmic functions.

p. 356 #1 – 4, 6, 8, 9, 11 – 18

p. 408 #1 – 5, 6a, 7 – 14, 16, 17

 

Handouts:

Logarithmic Review

Solving Exponential Equations

 

Wed May 30

Test Review – Day 2

Review:  Exponential & Logarithmic Functions

 

Click here for extra practice with logarithms

 

Thu May 31

Test Review – Day 3

 

 

Review for Tomorrow’s Test

 

 

Click here for the solutions to the problem solving practice!!!

Fri Jun 1

Test

UNIT TEST #5

 

Work on review for next unit

p. 414 #1 – 5, 7 – 9, 11, 13, 14