# Curve sketching

**Curve sketching** is a way of interpreting a given equation as a diagram. More specifically, this allows students to visually represent limit behaviours in a way that follows university mathematics. In the HSC, curve sketching is predominantly an Extension 2 topic. However, basic graphs can often be asked in Extension 1.

## IntroductionEdit

## Systematic approachEdit

### Domain and rangeEdit

### AsymptotesEdit

#### Horizontal asymptotesEdit

#### Oblique asymptotesEdit

#### Vertical asymptotesEdit

### Limit behavioursEdit

### InterceptsEdit

## Graphing Edit

## Graphing Edit

### 1995 3a (iv)Edit