Chapter SH, Problem 9.9.2EP

To determine

The graph of $y=0.3x^3$ is to be drawn.

Explanation of Solution

Given:

  $y=0.3x^3$

Graph:

  

Interpretation:

The given equation is:

  $y=0.3x^3$

At $x=2$

  $\begin{array}{l}y=0.3x^3{x}^3\\ y=0.3{\left(2\right)}^3\\ y=2.4\end{array}$

At $x=1$

  $\begin{array}{l}y=0.3x^3\\ y=0.3{\left(1\right)}^3\\ y=0.3\end{array}$

At $x=0$

  $\begin{array}{l}y=0.3x^3\\ y=0.3{\left(0\right)}^3\\ y=0\end{array}$

At $x=-2$

  $\begin{array}{l}y=0.3x^3\\ y=0.3{\left(-2\right)}^3\\ y=-2.4\end{array}$

At $x=-1$

  $\begin{array}{l}y=0.3x^3\\ y=0.3{\left(-1\right)}^3\\ y=-0.3\end{array}$

So, the co-ordinates to draw eq. $y=x^3$ are

  $\left(2,2.4\right),\left(1,0.3\right),\left(0,0\right),\left(-2,-2.4\right),\left(-1,-0.3\right)$