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Question

The points (12, 200), (18, 400), (20, 200), (15, 600), (12, 500), (25, 400) are plotted on a graph. Which of the pair of point should be removed to make the graph represent a function?

A
(18, 400)
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B
(20, 200)
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C
(12, 200)
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D
(25, 400)
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Solution

The correct option is C (12, 200)
A system is said to be a function if every input has only one output value.

But in the given pair of points one input value have two output values.

If we plot all the points on the graph, we will observe:


The points are (12, 200) and (12, 500)

Hence to make the function, we need to remove one of the point.

So, the point to be removed from the given options is (12,200).

The final graph for all the remaining points will look like:


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