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Question

Which of the following represents a nonlinear function?

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Solution

We know that all the functions of the form y=mx+b are linear.

y=3x2 is of the form y=mx+b, where m=3 and b=2.
So, y=3x2 represents a linear function.

y=5 is of the form y=mx+b, where m=0 and b=5.
So, y=5 represents a linear function.

y=x2 cannot be represented in the form y=mx+b.
So, y=x2 represents a nonlinear function.

y=4x is of the form y=mx+b, where m=4 and b=0.
So, y=4x represents a linear function.

Option C is correct.

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