Is the function y = 3 + 9/4√x linear or nonlinear?

The function ( y = 3 + frac{9}{4}sqrt{x} ) is nonlinear.

This is because it contains the square root of ( x ), which means it does not form a straight line when graphed. Linear functions can be written in the form ( y = mx + b ), where ( m ) and ( b ) are constants, and they produce a graph that is a straight line. In this case, the presence of the square root indicates that the relationship between ( y ) and ( x ) is not linear.

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