Here are six graphs - Edexcel - GCSE Maths - Question 6 - 2019 - Paper 2
Question 6
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 6 - 2019 - Paper 2
Step 1
a) $y = x^3$
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Answer
The graph of the equation y=x3 is a cubic function which is defined as an odd function. It passes through the origin (0,0) and has an S-shaped curve. Therefore, the graph that corresponds to the equation y=x3 is F.
Step 2
b) $y = \frac{1}{x}$
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Answer
The equation y=x1 represents a hyperbola, which has two branches. It approaches the axes but never crosses them, indicating asymptotic behavior. The corresponding graph for the equation y=x1 is D.
