This exam tips covers Exam Tips for Cubic Graphs 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 7 of 10 in this topic. Treat this as a marking guide for what examiners are looking for, not just a fact list.
Topic position
Section 7 of 10
Practice
11 questions
Recall
10 flashcards
💡 Exam Tips for Cubic Graphs
- Smooth curve: always join points with a smooth S-shaped curve — never with straight segments or sharp corners
- Check the shape first: positive leading coefficient → bottom-left to top-right; negative → top-left to bottom-right
- Repeated roots: at a repeated root the curve TOUCHES the x-axis but does not cross it (like a "bounce")
- Point of inflection: at a point of inflection the curve flattens momentarily but does not change direction — gradient does not equal zero at a true inflection
- Always calculate the y-intercept: set x = 0 and mark this point — it anchors your sketch
Keep building this topic
Read this section alongside the surrounding pages in Cubic Graphs. That gives you the full topic sequence instead of a single isolated revision point.
Practice Questions for Cubic Graphs
Which of the following best describes the general shape of the graph y = x³?
Explain how you can tell from the equation of a cubic whether its graph rises or falls as x approaches positive infinity.
Quick Recall Flashcards
11 questions on Cubic Graphs — practise free
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