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Here are six graphs - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 2

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Question 8

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Here are six graphs. A B C D E F Write down the letter of the graph that could have the equation (a) y = x^3 (b) y = \frac{1}{x}

Worked Solution & Example Answer:Here are six graphs - Edexcel - GCSE Maths - Question 8 - 2019 - Paper 2

Step 1

(a) y = x^3

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Answer

The graph that represents the equation y=x3y = x^3 is graph F. This is a cubic function that passes through the origin and has the characteristic shape of an odd degree polynomial.

Step 2

(b) y = \frac{1}{x}

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Answer

The graph that corresponds to the equation y=1xy = \frac{1}{x} is graph D. This represents a hyperbola with vertical and horizontal asymptotes, depicting the relationship where yy approaches infinity as xx approaches zero from either side.

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