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

The graph is :

EXPLANATION :

From the problem, we have the function:

`y=(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=(3)/(2)\left(-2\right)^3=-12 \\ y=(3)/(2)(-1)^3=-(3)/(2) \\ y=(3)/(2)(0)^3=0 \\ y=(3)/(2)(1)^3=(3)/(2) \\ y=(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 :