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  1. the graph in the attached figure

    step-by-step explanation:

    we have

    [tex]f(x)=2x^{3}-7x^{2} +2x+3[/tex]

    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)

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