**Indices**

**Fractional Indices:**

**Law of Indices:**

At least one simultaneous equations question (5 marks) will be coming out in the SPM paper 2, section A.

- Substitution (SPM 2005, SPM2007)
- Using Formulae (SPM 2006, SPM 2009)

**The Basic of quadratic functions (SPM 2010)****Determine max and min values of quadratic function (SPM2009)****How to sketch the graph of quadratic functions (SPM2010)****How to find the range of values of***x*in Quadratic inequalities (2007, 2006)

This topic is closely related to the topic of quadratic equations. We will discuss further on 4 subtopics below:

**1. The Basic of quadratic functions**

** 2. Determine max and min values of quadratic function**

** 3. How to sketch the graph of quadratic functions**

** 4. How to find the range of values of x in Quadratic inequalities**

We will discuss some pass year SPM exam questions based on:

- Solve the quadratic equations – SPM 2003, SPM 2005
- Form a quadratic equation – SPM 2009
- Determine the conditions for the type of roots – SPM2010

In this chapter we will learn 3 most basic techniques on how to:

**Solve the quadratic equations****Form a quadratic equation****Determine the conditions for the type of roots.**

We will discuss some pass year SPM exam questions based on the four concepts :

**Relations – SPM 2010**

**Functions – SPM 2007**

**Composite Functions – SPM 2007**

**Composite & Inverse Functions – SPM 2010**

Basically there are four concepts you need to master in this chapter:

**Relations****Functions****Composite Functions****Inverse Functions**