Further Functions

This online course is developed to cover all the content required for HSC Mathematics Extension 1 students studying Further Functions.

We will cover solving further inequalities; sketching curves by addition of ordinates, multiplication of ordinates, reciprocating ordinates, absolute value transformations and square root transformations; parametric representations and inverse functions.

While this course is developed for NSW HSC Mathematics Extension 1, it is also suitable for students studying UK Further Mathematics, UK STEP Mathematics, IB (AA HL), Singapore A-Level Mathematics and Mathematics Gymnasium.

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Meet Huan

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Meet Huan - -

Hello! I am Huan - founder of EIM Tuition.

Growing up in a first-generation immigrant family, I experienced first-hand the belief that education is the key to opportunity. Like many of the students I have helped, I went through the grind of preparing for the HSC, aiming for a top ATAR in a highly competitive selective high school environment.

That journey shaped how I teach (and EIM operates) today. Since 2010, I’ve helped 1,000+ students from 50+ schools across Sydney achieve outstanding results - including 99.95 ATARs, state ranks and countless Band 6’s.

Through these online courses, I hope to share the same clarity, structure and strategies that have helped so many students succeed - and help you achieve your own goals, wherever you’re studying from.

Course FAQ

Stay tuned!

1. Example 1 (Solving Absolute Value Inequalities)

2. Example 2 (Solving Quadratic Inequalities)

3. Example 3 (Solving Polynomial Inequalities)

4. Example 4 (Solving Rational Inequalities)

5. Example 5 (Solving Rational Inequalities)

1. Example 1

2. Example 2

3. Example 3

4. Example 4

1. Example 1

2. Example 2

3. Example 3

4. Example 4

5. Example 5

1. Example 1

2. Example 2

3. Example 3

4. Example 4

5. Example 5

1. Sketching y=|f(x)| Transformations

2. Example 1

3. Sketching y=f(|x|) Transformations

4. Example 2

5. Sketching |y|=f(x) Transformations

6. Example 3

1. Sketching Square Root Transformations

2. Example 1

3. Example 2

4. Example 3

5. Example 4

6. Example 5

1. What is a Parameter?

2. Example 1

3. Example 2

4. Example 3

5. Example 4

1. What is an Inverse Relationship?

2. Are Inverses Functions?

3. Properties of Inverse?

4. Example 1

5. Example 2

6. Example 3

7. Example 4

Meet Huan

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Course FAQ

FAQ Coming Soon!

Meet Huan - -