HSC Year 11 Mathematics Extension 1 Functions
Course

HSC Year 11 Mathematics Extension 1 – Functions

1.1 Graphs
1.2 Inequalities
1.3 Inverse Functions
1.4 Parameters
1.5 Remainder and Factor Theorem
1.6 Polynomials

37 Lessons

Course Materials

GRAPHS

Reciprocal Functions

Square Root Functions

Absolute Value (Modulus) Graphs

Further Graphs of Absolute Value (Modulus) Functions

Adding and Subtracting Graphs

Product of Functions

INEQUALITIES

Quadratic Inequalities by Given Graphs

Quadratic Inequalities by Sketching Graphs

Regions of Quadratic Inequalities

Inequalities with Pronumerals in Denominators

Inequalities with Pronumerals in Denominators involving Quadratics

Linear Inequalities involving Absolute Values

INVERSE FUNCTIONS

Inverse Functions

Relations and Their Inverses

Functions and Their Inverses

Understanding Inverse Functions

Restricting Functions

PARAMETERS

Parametric Equations

Parametric Equations of Parabolas

Parametric Equations of Circles

REMAINDER AND FACTOR THEOREM

Division of Polynomials

Roots and Zeros

Polynomial Equality

Finding Remainders by Division

Remainder Theorem

Finding Remainders by Remainder Theorem

Factor Theorem

Factorise Polynomials by Factor Theorem

POLYNOMIALS

Sum and Product of Roots

Complex Polynomials

Polynomial Graphs