GraphsDeep Dive
Worked Example: Table of Values for y = x³ − 3x
Part of Cubic Graphs — GCSE Mathematics
This deep dive covers Worked Example: Table of Values for y = x³ − 3x within Cubic Graphs for GCSE Mathematics. Revise Cubic Graphs in Graphs for GCSE Mathematics with 11 exam-style questions and 10 flashcards. This topic appears less often, but it can still be a useful differentiator on mixed-topic papers. It is section 6 of 10 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 6 of 10
Practice
11 questions
Recall
10 flashcards
Worked Example: Table of Values for y = x³ − 3x
| x | x³ | −3x | y |
|---|---|---|---|
| −2 | −8 | 6 | −2 |
| −1 | −1 | 3 | 2 |
| 0 | 0 | 0 | 0 |
| 1 | 1 | −3 | −2 |
| 2 | 8 | −6 | 2 |
| 3 | 27 | −9 | 18 |
This cubic has roots at x = −√3, 0, and √3. Local maximum at approximately x = −1 (y = 2) and local minimum at x = 1 (y = −2).