Cubic and reciprocal graphs (AQA GCSE Maths): Quizzes

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Cubic and reciprocal graphs
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What is the highest power term in a cubic graph?

x3x^3

What characteristic shape do cubic graphs create?

S-shape

A cubic graph with positive x3x^3 coefficient flows in which direction?

Bottom-left to top-right

A cubic graph with negative x3x^3 coefficient flows in which direction?

Top-left to bottom-right

Which equation represents a reciprocal graph?

y=1xy = \frac{1}{x}

How many separate branches does a reciprocal graph create?

Two

What are asymptotes in reciprocal graphs?

Lines the curve approaches but never touches

What is the maximum number of times a cubic graph can cross the x-axis?

3 times

In which quadrants do the branches of y=1xy = \frac{1}{x} appear?

First and third

Why do reciprocal graphs never touch the axes?

You cannot divide 1 by 0

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