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Question

y=2x+2 is a

A
Linear function
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B
Non linear function
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C
Not a function
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Solution

The correct option is A Linear function
Given function y=2x+2


y=2x+2 is a function as is a function as for every input values of x different outputs y will be obtained.

Also, y=2x+2 can be written as y=2x1+2x0
We know that a function having the exponents of x as 0 or 1 is a linear function.
Here in y=2x+2 the exponent of x are 1 and 0. Hence y=2x+2 is a linear function.
Also a function whose graph is a straight line is a linear function.

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