Question

Graph the function. y= 3/2x^3 Plot five points on the graph of the function: one point with x=0 , two points with negative x-values, and two points with positive x-values. Then click on the graph-a-function button.

Answer 1

ANSWER :

The graph is :

EXPLANATION :

From the problem, we have the function:

$y=\frac{3}{2}x^3$

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 :

$\begin{gathered} y=\frac{3}{2}\left(-2\right)^3=-12 \\ y=\frac{3}{2}(-1)^3=-\frac{3}{2} \\ y=\frac{3}{2}(0)^3=0 \\ y=\frac{3}{2}(1)^3=\frac{3}{2} \\ y=\frac{3}{2}(2)^3=12 \end{gathered}$

Plot the points (-2, -12), (-1, -3/2), (0, 0), (1, 3/2) and (2, 12)

The graph will be :