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Question

Which of the following graph shows a nonlinear function?

A
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B
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C
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D
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Solution

The correct option is D
We know the representation of a linear function on the graph is a straight line.

Option A:
The given graph is a straight line.
And as the graphical representation of any linear function is a straight line, so it is a linear function.

Option B:
The given graph is a straight line.
And as the graphical representation of any linear function is a straight line, so it is a linear function.

Option C:
The given graph is in the combination of multiple lines. It is not a single straight line.
And as the graphical representation of any linear function is a straight line, so it is a nonlinear function.

Option D:
The given graph is a straight line.
And as the graphical representation of any linear function is a straight line, so it is a linear function.

So option C is the correct answer.

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