Determine which one of these graphs does not represent $y$ as a function of $x$ - AQA - A-Level Maths Pure - Question 3 - 2020 - Paper 3
Question 3
Determine which one of these graphs does not represent $y$ as a function of $x$. Tick (/) one box.
1. Graph 1: A curve that loops back on itself.
2. Graph 2: A hori... show full transcript
Worked Solution & Example Answer:Determine which one of these graphs does not represent $y$ as a function of $x$ - AQA - A-Level Maths Pure - Question 3 - 2020 - Paper 3
Step 1
Graph 1: A curve that loops back on itself.
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Answer
This graph does not pass the vertical line test, as it intersects the vertical line at multiple points. Therefore, it does not represent y as a function of x.
Step 2
Graph 2: A horizontal line.
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Answer
This graph represents a function since it only gives one output value for each input value of x.
Step 3
Graph 3: A curved line that passes through one vertical line.
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Answer
This graph represents a function, as it does not intersect the vertical line at more than one point.
Step 4
Graph 4: A downward curve that also loops back on itself.
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Answer
This graph does not represent y as a function of x because it fails the vertical line test, intersecting vertical lines at multiple points.
