Which of the graphs below would result if you made the leading term of thefollowing function negative?F(x) = 5x^3 + x - 8

Answer:Option d that is graph D is the final answer.Step-by-step explanation:We know that [tex]f(x)=x^3[/tex] is an odd function.As odd functions are: [tex]f(-x)=-f(x)[/tex]  Symmetric about opposite quadrant.For [tex]f(x)=x^3[/tex] we have the graph on Ist and IIIrd quadrant.And for [tex]f(x)=-x^3[/tex] the graph will be on IInd and IVth quadrant.So if the leading term that is [tex]5x^3[/tex] becomes [tex]-5x^3[/tex]  (negative) the graph will be plotted on IInd and IVth quadrant.There is also a constant terms [tex]-8[/tex] which means that it will intersect the [tex]y-axis[/tex] below the origin at [tex]-8[/tex].So from the above we can conclude that graph D is the answer.