Answer :
First, it is necessary to analyze the type of function that we have. It is a third-degree equation ( or cubic equation). The possible choices could be option b or d because option a and c correspond to a parabola, which is characteristic of a quadratic equation.
Then you can replace the x with some value. For example x = 1, the value of the function is
[tex]\begin{gathered} y=-2\cdot x^3 \\ y=-2\cdot(1)^3 \\ y=-2 \end{gathered}[/tex]So you can see that the graph that corresponds to the equation is d.