# Topic 2: Functions and equations

## Functions

## Functions

## Completing the Square

## Quadratic Equations

## Quadratic Equations – Roots and Discriminant

## Quadratic Graphs

## Polynomials

## Sketching Curves

## Sketching Cubic and Reciprocal Curves

## Graph Transformations and Asymptotes

## Graphs of Rational Functions

## Exponential Functions and Logarithms

- Exponential functions: what they are and their graphs
- What do we mean by a log?
- Rules of logs
- Logarithms - Change of Base
- Simplifying and expanding
- Converting between Logarithmic and Power (Exponential) equations
- Modelling exponential growth and decay
- Exponential and log equations
- Simultaneous equations
- Solving inequalities
- Exam Questions - Logarithms