Is this function linear or nonlinear y=1/2x^{2}
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nonlinear

Step-by-step explanation:

The word 'linear' means something having to do with a line. On a Cartesian Plane, a linear characteristic is a feature wherein the graph is a straight line. The line can cross in any direction, but it's always an instant line. A non-linear function has a shape that isn't an immediate line

The graph is nonlinear because it is not a straight line.

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Nonlinear.

Step-by-step explanation:

Since x is being squared, the equation is actually a parabola. The power of x has to be 1 for the function to be a linear function, so this equation is nonlinear.

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the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)