ANSWER :
The graph is :
EXPLANATION :
From the problem, we have the function:
[tex]y=\frac{3}{2}x^3[/tex]
We need 5 points to plot the function, one point with x = 0, two negative values and two positive values.
Let's say x = -2, 1, 0, 1 and 2
That will be :
[tex]\begin{gathered} y=\frac{3}{2}\left(-2\right)^3=-12 \\ y=\frac{3}{2}(-1)^3=-\frac{3}{2} \\ y=\frac{3}{2}(0)^3=0 \\ y=\frac{3}{2}(1)^3=\frac{3}{2} \\ y=\frac{3}{2}(2)^3=12 \end{gathered}[/tex]
Plot the points (-2, -12), (-1, -3/2), (0, 0), (1, 3/2) and (2, 12)
The graph will be :
