Reciprocal, Absolute-Value and Sum/Difference Graphs

What this note covers

1. 1. The Reciprocal Graph y = 1/f(x)
2. 2. Reciprocal Trigonometric Graphs: y = sec x, y = cosec x and y = cot x
3. 3. The Absolute-Value Graph y = |f(x)|
4. 4. The Absolute-Value Input Graph y = f(|x|)
5. 5. Sum and Difference Graphs: y = f(x) ± g(x)
6. 6. Asymptote and Intercept Behaviour — Comparative Summary
7. 7. Behaviour at Turning Points — A Deeper Look
8. 8. Exam Strategy and Full Worked Example

8 sections · 14 key terms & formulas · 6 common mistakes

Common questions