Advanced Functions MHF4UG — Grade 12 Math Lessons | PrepBox

Advanced Functions MHF4UG — Grade 12

Explore Advanced Functions MHF4UG for Grade 12. Follow the chapter and section outline to find available interactive lessons and video explanations. These are independent PrepBox learning resources; PrepBox is not affiliated with the textbook publisher.

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812 topic entries in the outline · 24 interactive entries · 715 video entries. Topics may appear in more than one section.

Chapter 1 Polynomial Functions

1.1 Power Functions

1.2 Characteristics of Polynomial Functions

1.3 Equations of Graphs of Polynomial Functions

1.4 Transformations

1.5 Rates of Change

1.6 Instantaneous Rates of Change

Chapter Review Polynomial Functions

Practice Test Polynomial Functions

Chapter 2 Polynomial Equations and Inequalities

2.1 Remainder Theorem

2.2 Factor Theorem

2.3 Polynomial Equations

2.4 Families of Polynomial Function

2.5 Inequality with Poly using Technology

2.6 Solve Factorable Polynomial Inequalities

Polynomial Chapter Review

Polynomial Practice Test

Chapter 3 Rational Functions

3.1 Reciprocal of a Linear Function

3.2 Reciprocal of a Quadratic Function

3.3 Rational Functions of the Form y = (ax+b)/(cx+d)

3.4 Solve Rational Equations and Inequalities

3.5 Making Connections With Rational Functions and Equations

Rational Functions Chapter Review

Chapter Test Rational Functions

Chapter 4 Trigonometry

4.1 Radian Measure

4.2 Trigonometric Ratios and Special Angles

4.3 Equivalent Trigonometric Expressions

4.4 Compound Angle Formulas

4.5 Prove Trigonometric Identities

Trigonometry Chapter Review

Chapter Test Trig

Chapter 5 Trigonometric Functions

5.1 Graphs of Sine, Cosine, and Tangent Functions

5.2 Graphs of Reciprocal Trigonometric Functions

5.3 Sinusoidal Functions of the Standard Form

5.4 Solve Trigonometric Equations

5.5 Making Connections and Instantaneous Rate of Change

  • Solve Trigonometric Equations · Not yet available
  • Sketch and Analyze Cosecant Function · Video available
  • Polar Coordinates Overview · Not yet available
  • Find Period and Sketch Tangent Function · Video available
  • Find Modelling Trig Equation From Data · Video available
  • Solve Trig Equations (Sinusoidal Word Problems) · Not yet available
  • Differentiate Primary Trig Functions · Video available
  • Graph Inverse Trig Function · Not yet available
  • Solve Inverse Trig Word Problem · Not yet available
  • Simplify Rational Expressions (Type E) · Not yet available
  • Trig Limit: Tangent Line · Not yet available

Chapter Review Trig Functions

Chapter Test

Cumulative Review of Trig Ch4 and 5

Chapter 6 Exponential And Logarithmic Functions

6.1 The Exponential Function and Its Inverse

6.2 Logarithms

6.3 Transformations of Logarithmic Functions

6.4 Power Law of Logarithms

6.5 Making Connections: Logarithmic Scales in the Physical Sciences

Chapter Review for Logs

Chapter Test Logs

Chapter 7 Tools and Strategies for solving Exponential and Logarithmic Equations

7.1 Equivalent forms of Exponential Equations

7.2 Techniques for Solving Exponential Equations

7.3 Product and Quotient Laws of Logarithms

7.4 Techniques for Solving Logarithmic Equations

7.5 Making Connections: Mathematical Modelling With Exponential and Logarithmic Equations

Exponential and Logarithmic Equations Chapter Review

Chapter Test Log and Exponents

Chapter 8 Combining Functions

8.1 Sums and Differences of Functions

8.2 Products and Quotients of Functions

8.3 Composite Functions

8.4 Inequalities of Combined Functions

  • Construct Functions With Prescribed Positivity and Relative Order · Not yet available
  • Expand to Solve Relations (Challenge) · Not yet available
  • Solve Equation or Inequality from Graph · Not yet available

8.5 Making Connections Modelling with Combined Functions

No named lesson topics are currently listed for this section.

Chapter Review of Combining Function

No named lesson topics are currently listed for this section.

Chapter Test on Combination of Functions

Advanced Functions Course Review