Cubic and reciprocal graphs (AQA GCSE Maths): Flashcards

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Cubic and reciprocal graphs
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Highest power term in cubic graphs

x3x^3 term

Shape of cubic graphs

S-shape (smooth, continuous curve)

Cubic graph direction with positive x3x^3 coefficient

Bottom left to top right

Cubic graph direction with negative x3x^3 coefficient

Top left to bottom right

Equation of reciprocal graphs

y = rac{1}{x}

Shape of reciprocal graphs

Hyperbola with two separate curved branches

Quadrants containing reciprocal graph branches

First (positive x, y) and third (negative x, y)

Definition of asymptotes

Lines that curve approaches but never touches

Axes that reciprocal graphs never touch

x-axis and y-axis

Maximum times cubic graph crosses x-axis

Up to 3 times

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