• Home
  • MHF 4U
    • MHF 4U Fall Calendar
    • Take me to the MHF4U Solutions Page!
    • Part 1: Limits and Logarithms >
      • What is Log?
      • Using Log to Solve Exponentials
      • Laws of Logarithms
      • Taking a Limit
      • Limits & Logarithms Practice Test
    • Part 2: Working with Functions >
      • BFDMAS
      • The Linear Algebra Method
      • Sometimes there is More than One Answer
      • Sometimes it Doesn't Work
      • Finding Intercepts
      • Working with Functions Practice Test
    • Part 3: Translations, Transformations, & Rates of Change >
      • Translations
      • Transformations
      • Welcome to the Sketch-o-thon
      • Domain and Range
      • Translations, Transformations & Rates Practice Test
    • Part 4: Rates of Change >
      • Average Rate of Change & Secants
      • Rates of Change & Tangents
      • Rates of Change Practice Test
    • Part 5: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 6: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites Practice Test
  • MCV 4U
    • Take me to the MCV4U Solutions Page!
    • Part 0: Vectors >
      • MCV ISU 1 >
        • Vector Notation and Operations
        • Getting from Here to There
        • Equations of Lines in 3 Space
        • Analysis of Lines in 3 Space
        • MCV ISU 1 Practice Test
      • MCV ISU 2 >
        • The Inner Product & Projections
        • The Distance from a Point to a Line
        • The Cross Product
        • The Distance between Skew Lines
        • MCV ISU 2 Practice Test
      • MCV ISU 3 >
        • Equations for Planes
        • Linear Dependence & a Plane from 3 Points
        • Gauss Jordan Elimination
        • The Intersection of Two Planes
        • The Intersection of Three Planes
        • MCV ISU 3 Practice Test
    • Part 1: Taking the Derivative >
      • The Differential Operator
      • The Power, and Product Rules
      • Derivatives of Sine and Cosine
      • Euler's Number (Exponentials & Logarithms)
      • The Chain Rule
      • Managing Product & Chain Rule
      • Product, Chain, or Both?
      • Derivatives Practice Test
    • Part 2: Curve Sketching >
      • Determining the Vertical Asymptotes and Max / Min
      • Determining the Points of Inflection
      • Determining the Intercepts of Composite Functions
      • Beware the Domain Error
      • Determining the End Behaviour
      • Curve Sketching
      • Curve Sketching Practice Test
    • Part 3: Rates and Optimization >
      • Equations of Tangents
      • Newton's Method
      • Implicit Differentiation
      • Related Rates
      • Optimization
      • Applications of Derivatives Practice Test
    • Part 4: Integration >
      • Intro to Integration
      • Substitution for Integration
      • Integration by Parts
      • The Area under Curves
      • Integration Practice Test
    • Part 5: Techniques for Difficult Limits >
      • Fundamental Limits
      • The Replacement Technique
  • MDM 4U
    • MDM Spring eLO Calendar
    • Take me to the MDM4U Solutions Page!
    • Part 1: Median Analysis >
      • Mode, Median, and Quartiles
      • Typical and Outlier Values (Median)
      • Median Analysis Practice Test
    • Part 2: Mean Value Analysis >
      • Mean, Skew and Standard Deviation
      • Sigma Standard Deviation
      • Typical and Outlier Values (StDev)
      • Typical Values
      • Outliers
      • Mean Value Analysis Practice Test
      • Single Variable Analysis Practice Test
    • Part 3: The Normal Distribution >
      • The Normal Distribution
      • Z-Scores
      • Normal Distribution Practice Test
    • Part 4: Sorting and Dependence >
      • Intro to Set Notation
      • Intro to Probability
      • Sorting and Independence
      • Sorting and Independence Practice Test
    • Part 5: Correlation and Fit >
      • Correlation Cofficient
      • Scatterplots and Line of Best Fit
      • Line of Best Fit Practice Test
    • Part 6: Two Variable Analysis >
      • Extrapolation and Interpolation
      • A Full Two Variable Analysis
      • Two Variable Analysis Practice Test
    • Part 7: Probability Distributions >
      • Geometric Distribution
      • Binomial Distributions
      • Probability Distributions Practice Test
    • Part 8: Games of Chance >
      • Stochastic Processes
      • Games of Chance
      • Games of Chance Practice Test
    • Part 9: Counting Theory >
      • Permutations
      • Combinations
      • Cases
      • So you Think you've Learned to Count...
      • Counting Theory Practice Test
  • SPH 3U/4C
    • Take me to the SPH3U/4C Solutions Page!
    • Part 1: Energy and Power >
      • The Energy Equations
      • Power & Force
      • Energy Conversions
      • Power & Energy Practice Test
    • Part 2: Kinematics >
      • The Kinematics Equations (3U/4C)
      • Sometimes things are Negative...
      • Multiphase Motion
      • Sketching Motion
      • Kinematics Practice Test
    • Part 3: Forces & Mechanical Systems >
      • Masses over Pulleys
      • Strings & Levers
      • Energy of Balanced Levers
      • Things on Springs
      • Components
      • MultiComponent Machines
      • Mechanical Systems Practice Test
    • Part 4: Electricity & Magnetism >
      • Ohm's Law
      • Resistance in Series and Parallel
      • Solving Circuits
      • Drawing Field Lines
      • Electricity and Magnetism Practice Test
    • Part 5: Wave Behaviour (3U) >
      • Properties of Waves
      • MultiComponent Machines
    • Part 5: Fluid Behaviour (4C)
  • Home
  • MHF 4U
    • MHF 4U Fall Calendar
    • Take me to the MHF4U Solutions Page!
    • Part 1: Limits and Logarithms >
      • What is Log?
      • Using Log to Solve Exponentials
      • Laws of Logarithms
      • Taking a Limit
      • Limits & Logarithms Practice Test
    • Part 2: Working with Functions >
      • BFDMAS
      • The Linear Algebra Method
      • Sometimes there is More than One Answer
      • Sometimes it Doesn't Work
      • Finding Intercepts
      • Working with Functions Practice Test
    • Part 3: Translations, Transformations, & Rates of Change >
      • Translations
      • Transformations
      • Welcome to the Sketch-o-thon
      • Domain and Range
      • Translations, Transformations & Rates Practice Test
    • Part 4: Rates of Change >
      • Average Rate of Change & Secants
      • Rates of Change & Tangents
      • Rates of Change Practice Test
    • Part 5: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 6: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites Practice Test
  • MCV 4U
    • Take me to the MCV4U Solutions Page!
    • Part 0: Vectors >
      • MCV ISU 1 >
        • Vector Notation and Operations
        • Getting from Here to There
        • Equations of Lines in 3 Space
        • Analysis of Lines in 3 Space
        • MCV ISU 1 Practice Test
      • MCV ISU 2 >
        • The Inner Product & Projections
        • The Distance from a Point to a Line
        • The Cross Product
        • The Distance between Skew Lines
        • MCV ISU 2 Practice Test
      • MCV ISU 3 >
        • Equations for Planes
        • Linear Dependence & a Plane from 3 Points
        • Gauss Jordan Elimination
        • The Intersection of Two Planes
        • The Intersection of Three Planes
        • MCV ISU 3 Practice Test
    • Part 1: Taking the Derivative >
      • The Differential Operator
      • The Power, and Product Rules
      • Derivatives of Sine and Cosine
      • Euler's Number (Exponentials & Logarithms)
      • The Chain Rule
      • Managing Product & Chain Rule
      • Product, Chain, or Both?
      • Derivatives Practice Test
    • Part 2: Curve Sketching >
      • Determining the Vertical Asymptotes and Max / Min
      • Determining the Points of Inflection
      • Determining the Intercepts of Composite Functions
      • Beware the Domain Error
      • Determining the End Behaviour
      • Curve Sketching
      • Curve Sketching Practice Test
    • Part 3: Rates and Optimization >
      • Equations of Tangents
      • Newton's Method
      • Implicit Differentiation
      • Related Rates
      • Optimization
      • Applications of Derivatives Practice Test
    • Part 4: Integration >
      • Intro to Integration
      • Substitution for Integration
      • Integration by Parts
      • The Area under Curves
      • Integration Practice Test
    • Part 5: Techniques for Difficult Limits >
      • Fundamental Limits
      • The Replacement Technique
  • MDM 4U
    • MDM Spring eLO Calendar
    • Take me to the MDM4U Solutions Page!
    • Part 1: Median Analysis >
      • Mode, Median, and Quartiles
      • Typical and Outlier Values (Median)
      • Median Analysis Practice Test
    • Part 2: Mean Value Analysis >
      • Mean, Skew and Standard Deviation
      • Sigma Standard Deviation
      • Typical and Outlier Values (StDev)
      • Typical Values
      • Outliers
      • Mean Value Analysis Practice Test
      • Single Variable Analysis Practice Test
    • Part 3: The Normal Distribution >
      • The Normal Distribution
      • Z-Scores
      • Normal Distribution Practice Test
    • Part 4: Sorting and Dependence >
      • Intro to Set Notation
      • Intro to Probability
      • Sorting and Independence
      • Sorting and Independence Practice Test
    • Part 5: Correlation and Fit >
      • Correlation Cofficient
      • Scatterplots and Line of Best Fit
      • Line of Best Fit Practice Test
    • Part 6: Two Variable Analysis >
      • Extrapolation and Interpolation
      • A Full Two Variable Analysis
      • Two Variable Analysis Practice Test
    • Part 7: Probability Distributions >
      • Geometric Distribution
      • Binomial Distributions
      • Probability Distributions Practice Test
    • Part 8: Games of Chance >
      • Stochastic Processes
      • Games of Chance
      • Games of Chance Practice Test
    • Part 9: Counting Theory >
      • Permutations
      • Combinations
      • Cases
      • So you Think you've Learned to Count...
      • Counting Theory Practice Test
  • SPH 3U/4C
    • Take me to the SPH3U/4C Solutions Page!
    • Part 1: Energy and Power >
      • The Energy Equations
      • Power & Force
      • Energy Conversions
      • Power & Energy Practice Test
    • Part 2: Kinematics >
      • The Kinematics Equations (3U/4C)
      • Sometimes things are Negative...
      • Multiphase Motion
      • Sketching Motion
      • Kinematics Practice Test
    • Part 3: Forces & Mechanical Systems >
      • Masses over Pulleys
      • Strings & Levers
      • Energy of Balanced Levers
      • Things on Springs
      • Components
      • MultiComponent Machines
      • Mechanical Systems Practice Test
    • Part 4: Electricity & Magnetism >
      • Ohm's Law
      • Resistance in Series and Parallel
      • Solving Circuits
      • Drawing Field Lines
      • Electricity and Magnetism Practice Test
    • Part 5: Wave Behaviour (3U) >
      • Properties of Waves
      • MultiComponent Machines
    • Part 5: Fluid Behaviour (4C)

MHF 4U: Advanced Functions
(Summer 2022)


Looking for the solutions to the Practice Problems?? Take me to the MHF4U Solutions Page!



July 4th

Task #1:
What is Log?

Task #2:
Solve Exponentials

July 5th

Task #1:
Laws of Logarithms

Task #2:
Taking a Limit

July 6th
Task #1:
Limits & Logarithms Practice Test
Task #2:
Limits & Logarithms
Test

July 7th
Task #1:
Arclength and Radians

Task #2:
CAST Rule (Radians)

July 8th
Task #1:
CAST for Any Arc

Task #2:
Arcs, Radians, CAST Practice Test



July 11th
Task #1:
Arcs, Radians, CAST
Test

Task #2:
BFDMAS


July 12th
Task #1:
Linear Algebra
Task #2:
Multiple Answers
Task #3:
Errors...

July 13th
Task #1:
Finding Intercepts

Task #2:
Working w Functions Practice Test



July 14th
Task #1:
Working w Functions
Test

Task #2:
Factoring Trig


July 15th
Task #1:
Fancy Factoring Trig

Task #2:
Denominator for Trig


July 18th
Task #1:
Pythagorean Identities

Task #2:
Working with Trig Practice Quiz


July 19th
Task #1:
Working w Trig Test
Task #2:
Translations
Task #3:
Transformations


July 20th
Task #1:
Sketch-o-thon

Task #2:
Domain and Range



July 21st
Task #1:
Rates of Change & Tangents
Task #2:
Sketching & Rates Practice Test


July 22nd
Task #1:
Sketching & Rates
Test






July 25th
Task #1:
Double Angle Identities for Cosine
Task #2:
Double Angle Identities for Sine


July 26th

Task #1:
Reducing Double Angle Expressions
Task #2:
Double Angle Practice Test


July 27th
Task #1:
Double Angle
Test

Task #2:
Polynomial Long Division


July 28th
Task #1:
Sketching Polynomials

Task #2:
Analyzing Rational Functions


July 29th

Task #1:
Sketching Rational Functions
Task #2:
Rational Analysis Practice Test



August 1st

Civic Holiday
:)



August 2nd
Task #1:
Polynomials and Rationals Test
Task #2:
Exam Prep


August 3rd

Exam Part I


August 4th

Exam Part II


August 5th

Engage Summer Mode
:)


J. McDonald 2025
Mathemanomicon.ca
  • Home
  • MHF 4U
    • MHF 4U Fall Calendar
    • Take me to the MHF4U Solutions Page!
    • Part 1: Limits and Logarithms >
      • What is Log?
      • Using Log to Solve Exponentials
      • Laws of Logarithms
      • Taking a Limit
      • Limits & Logarithms Practice Test
    • Part 2: Working with Functions >
      • BFDMAS
      • The Linear Algebra Method
      • Sometimes there is More than One Answer
      • Sometimes it Doesn't Work
      • Finding Intercepts
      • Working with Functions Practice Test
    • Part 3: Translations, Transformations, & Rates of Change >
      • Translations
      • Transformations
      • Welcome to the Sketch-o-thon
      • Domain and Range
      • Translations, Transformations & Rates Practice Test
    • Part 4: Rates of Change >
      • Average Rate of Change & Secants
      • Rates of Change & Tangents
      • Rates of Change Practice Test
    • Part 5: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 6: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites Practice Test
  • MCV 4U
    • Take me to the MCV4U Solutions Page!
    • Part 0: Vectors >
      • MCV ISU 1 >
        • Vector Notation and Operations
        • Getting from Here to There
        • Equations of Lines in 3 Space
        • Analysis of Lines in 3 Space
        • MCV ISU 1 Practice Test
      • MCV ISU 2 >
        • The Inner Product & Projections
        • The Distance from a Point to a Line
        • The Cross Product
        • The Distance between Skew Lines
        • MCV ISU 2 Practice Test
      • MCV ISU 3 >
        • Equations for Planes
        • Linear Dependence & a Plane from 3 Points
        • Gauss Jordan Elimination
        • The Intersection of Two Planes
        • The Intersection of Three Planes
        • MCV ISU 3 Practice Test
    • Part 1: Taking the Derivative >
      • The Differential Operator
      • The Power, and Product Rules
      • Derivatives of Sine and Cosine
      • Euler's Number (Exponentials & Logarithms)
      • The Chain Rule
      • Managing Product & Chain Rule
      • Product, Chain, or Both?
      • Derivatives Practice Test
    • Part 2: Curve Sketching >
      • Determining the Vertical Asymptotes and Max / Min
      • Determining the Points of Inflection
      • Determining the Intercepts of Composite Functions
      • Beware the Domain Error
      • Determining the End Behaviour
      • Curve Sketching
      • Curve Sketching Practice Test
    • Part 3: Rates and Optimization >
      • Equations of Tangents
      • Newton's Method
      • Implicit Differentiation
      • Related Rates
      • Optimization
      • Applications of Derivatives Practice Test
    • Part 4: Integration >
      • Intro to Integration
      • Substitution for Integration
      • Integration by Parts
      • The Area under Curves
      • Integration Practice Test
    • Part 5: Techniques for Difficult Limits >
      • Fundamental Limits
      • The Replacement Technique
  • MDM 4U
    • MDM Spring eLO Calendar
    • Take me to the MDM4U Solutions Page!
    • Part 1: Median Analysis >
      • Mode, Median, and Quartiles
      • Typical and Outlier Values (Median)
      • Median Analysis Practice Test
    • Part 2: Mean Value Analysis >
      • Mean, Skew and Standard Deviation
      • Sigma Standard Deviation
      • Typical and Outlier Values (StDev)
      • Typical Values
      • Outliers
      • Mean Value Analysis Practice Test
      • Single Variable Analysis Practice Test
    • Part 3: The Normal Distribution >
      • The Normal Distribution
      • Z-Scores
      • Normal Distribution Practice Test
    • Part 4: Sorting and Dependence >
      • Intro to Set Notation
      • Intro to Probability
      • Sorting and Independence
      • Sorting and Independence Practice Test
    • Part 5: Correlation and Fit >
      • Correlation Cofficient
      • Scatterplots and Line of Best Fit
      • Line of Best Fit Practice Test
    • Part 6: Two Variable Analysis >
      • Extrapolation and Interpolation
      • A Full Two Variable Analysis
      • Two Variable Analysis Practice Test
    • Part 7: Probability Distributions >
      • Geometric Distribution
      • Binomial Distributions
      • Probability Distributions Practice Test
    • Part 8: Games of Chance >
      • Stochastic Processes
      • Games of Chance
      • Games of Chance Practice Test
    • Part 9: Counting Theory >
      • Permutations
      • Combinations
      • Cases
      • So you Think you've Learned to Count...
      • Counting Theory Practice Test
  • SPH 3U/4C
    • Take me to the SPH3U/4C Solutions Page!
    • Part 1: Energy and Power >
      • The Energy Equations
      • Power & Force
      • Energy Conversions
      • Power & Energy Practice Test
    • Part 2: Kinematics >
      • The Kinematics Equations (3U/4C)
      • Sometimes things are Negative...
      • Multiphase Motion
      • Sketching Motion
      • Kinematics Practice Test
    • Part 3: Forces & Mechanical Systems >
      • Masses over Pulleys
      • Strings & Levers
      • Energy of Balanced Levers
      • Things on Springs
      • Components
      • MultiComponent Machines
      • Mechanical Systems Practice Test
    • Part 4: Electricity & Magnetism >
      • Ohm's Law
      • Resistance in Series and Parallel
      • Solving Circuits
      • Drawing Field Lines
      • Electricity and Magnetism Practice Test
    • Part 5: Wave Behaviour (3U) >
      • Properties of Waves
      • MultiComponent Machines
    • Part 5: Fluid Behaviour (4C)
  • Home
  • MHF 4U
    • MHF 4U Fall Calendar
    • Take me to the MHF4U Solutions Page!
    • Part 1: Limits and Logarithms >
      • What is Log?
      • Using Log to Solve Exponentials
      • Laws of Logarithms
      • Taking a Limit
      • Limits & Logarithms Practice Test
    • Part 2: Working with Functions >
      • BFDMAS
      • The Linear Algebra Method
      • Sometimes there is More than One Answer
      • Sometimes it Doesn't Work
      • Finding Intercepts
      • Working with Functions Practice Test
    • Part 3: Translations, Transformations, & Rates of Change >
      • Translations
      • Transformations
      • Welcome to the Sketch-o-thon
      • Domain and Range
      • Translations, Transformations & Rates Practice Test
    • Part 4: Rates of Change >
      • Average Rate of Change & Secants
      • Rates of Change & Tangents
      • Rates of Change Practice Test
    • Part 5: Analyzing Rational Expressions >
      • Polynomial Long Division
      • Sketching Polynomials
      • Analyzing Rational Functions
      • Sketching Rational Functions
      • Rational Analysis Practice Test
    • Part 6: Analyzing Composite Functions >
      • Multiplication Type Composites
      • Analyzing Composites Practice Test
  • MCV 4U
    • Take me to the MCV4U Solutions Page!
    • Part 0: Vectors >
      • MCV ISU 1 >
        • Vector Notation and Operations
        • Getting from Here to There
        • Equations of Lines in 3 Space
        • Analysis of Lines in 3 Space
        • MCV ISU 1 Practice Test
      • MCV ISU 2 >
        • The Inner Product & Projections
        • The Distance from a Point to a Line
        • The Cross Product
        • The Distance between Skew Lines
        • MCV ISU 2 Practice Test
      • MCV ISU 3 >
        • Equations for Planes
        • Linear Dependence & a Plane from 3 Points
        • Gauss Jordan Elimination
        • The Intersection of Two Planes
        • The Intersection of Three Planes
        • MCV ISU 3 Practice Test
    • Part 1: Taking the Derivative >
      • The Differential Operator
      • The Power, and Product Rules
      • Derivatives of Sine and Cosine
      • Euler's Number (Exponentials & Logarithms)
      • The Chain Rule
      • Managing Product & Chain Rule
      • Product, Chain, or Both?
      • Derivatives Practice Test
    • Part 2: Curve Sketching >
      • Determining the Vertical Asymptotes and Max / Min
      • Determining the Points of Inflection
      • Determining the Intercepts of Composite Functions
      • Beware the Domain Error
      • Determining the End Behaviour
      • Curve Sketching
      • Curve Sketching Practice Test
    • Part 3: Rates and Optimization >
      • Equations of Tangents
      • Newton's Method
      • Implicit Differentiation
      • Related Rates
      • Optimization
      • Applications of Derivatives Practice Test
    • Part 4: Integration >
      • Intro to Integration
      • Substitution for Integration
      • Integration by Parts
      • The Area under Curves
      • Integration Practice Test
    • Part 5: Techniques for Difficult Limits >
      • Fundamental Limits
      • The Replacement Technique
  • MDM 4U
    • MDM Spring eLO Calendar
    • Take me to the MDM4U Solutions Page!
    • Part 1: Median Analysis >
      • Mode, Median, and Quartiles
      • Typical and Outlier Values (Median)
      • Median Analysis Practice Test
    • Part 2: Mean Value Analysis >
      • Mean, Skew and Standard Deviation
      • Sigma Standard Deviation
      • Typical and Outlier Values (StDev)
      • Typical Values
      • Outliers
      • Mean Value Analysis Practice Test
      • Single Variable Analysis Practice Test
    • Part 3: The Normal Distribution >
      • The Normal Distribution
      • Z-Scores
      • Normal Distribution Practice Test
    • Part 4: Sorting and Dependence >
      • Intro to Set Notation
      • Intro to Probability
      • Sorting and Independence
      • Sorting and Independence Practice Test
    • Part 5: Correlation and Fit >
      • Correlation Cofficient
      • Scatterplots and Line of Best Fit
      • Line of Best Fit Practice Test
    • Part 6: Two Variable Analysis >
      • Extrapolation and Interpolation
      • A Full Two Variable Analysis
      • Two Variable Analysis Practice Test
    • Part 7: Probability Distributions >
      • Geometric Distribution
      • Binomial Distributions
      • Probability Distributions Practice Test
    • Part 8: Games of Chance >
      • Stochastic Processes
      • Games of Chance
      • Games of Chance Practice Test
    • Part 9: Counting Theory >
      • Permutations
      • Combinations
      • Cases
      • So you Think you've Learned to Count...
      • Counting Theory Practice Test
  • SPH 3U/4C
    • Take me to the SPH3U/4C Solutions Page!
    • Part 1: Energy and Power >
      • The Energy Equations
      • Power & Force
      • Energy Conversions
      • Power & Energy Practice Test
    • Part 2: Kinematics >
      • The Kinematics Equations (3U/4C)
      • Sometimes things are Negative...
      • Multiphase Motion
      • Sketching Motion
      • Kinematics Practice Test
    • Part 3: Forces & Mechanical Systems >
      • Masses over Pulleys
      • Strings & Levers
      • Energy of Balanced Levers
      • Things on Springs
      • Components
      • MultiComponent Machines
      • Mechanical Systems Practice Test
    • Part 4: Electricity & Magnetism >
      • Ohm's Law
      • Resistance in Series and Parallel
      • Solving Circuits
      • Drawing Field Lines
      • Electricity and Magnetism Practice Test
    • Part 5: Wave Behaviour (3U) >
      • Properties of Waves
      • MultiComponent Machines
    • Part 5: Fluid Behaviour (4C)