MCR3U Functions

MCR3U Functions

Introduction to Functions

Equivalent Algebraic Expressions

Relations and Functions

Function Notation

Parent Functions

Determining the Domain and Range of a Function

The inverse Function and Its Properties

Transformations of Parent Functions

Adding and Subtracting Polynomials

Multiplying Polynomials

Factoring Polynomials

Simplifying Rational Expressions Part 1

Simplifying Rational Expressions Part 2

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Quadratic Functions

Exponential Functions

Properties of Quadratic Functions

Determining Maximum and Minimum Values of a Quadratic Function

The Inverse of a Quadratic Function

Simplifying Radicals

Quadratic Function Models: Solving Quadratic Equations

The Zeros of a Quadratic Function

Families of Quadratic Functions

Linear-Quadratic Systems Part 1

Linear-Quadratic Systems Part 2

Exploring Exponential Decay

Working with Integer Exponents

Working with Rational Exponents Part 1

Working with Rational Exponents Part 2

Simplifying Algebraic Expressions Involving Exponents

Exploring the Properties of Exponential Functions

Transformations of Exponential Functions Part 1

Transformations of Exponential Functions Part 2

Applications Involving Exponential Functions

Trigonometric Ratios (Right Angled and Sine & Cosine Laws)

Sinusoidal Functions

Trigonometric Ratios of Acute Angles Part 1

Trigonometric Ratios of Acute Angles Part 2

Evaluating Trigonometric Ratios for Special Angles Part 1

Evaluating Trigonometric Ratios for Special Angles Part 2

Evaluating Trigonometric Ratios for Any Angle Between 0° and 360° Part 1

Evaluating Trigonometric Ratios for Any Angle Between 0° and 360° Part 2

Trigonometric Identities

The Sine Law Part 1

The Sine Law Part 2

Sine and Cosine Laws - When do you use each one?

Solving Three-Dimensional Problems by Using Trigonometry

Periodic Functions and Their Properties

Graphing y = sinx and y = cosx in Degrees

Interpreting Sinusoidal Functions

Using Transformations to Sketch the Graphs of Sinusoidal Functions

Solving Problems Using Sinusoidal Models Part 1

Solving Problems Using Sinusoidal Models Part 2

Sequences & Series

Arithmetic Sequences

Geometric Sequences

Arithmetic Series

Geometric Series

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