#### Answer

The graph is shown below:

#### Work Step by Step

Consider the provided functions $y=\frac{1}{{{x}^{2}}},y=\frac{1}{{{x}^{4}}},$ and $y=\frac{1}{{{x}^{6}}}$. For plotting the graph of the functions using the TI-83 calculator, follow the steps as shown below:
- Write the equations $y=\frac{1}{{{x}^{2}}},y=\frac{1}{{{x}^{4}}},$ and $y=\frac{1}{{{x}^{6}}}$.
- Set $\left( -3,3,0.5 \right)$ and $\left( 0,2,0.25 \right)$.
- Plot the graph of the mentioned functions.
In the graph, it is clear that the plot approaches the vertical asymptote slower and the horizontal asymptote faster when $n$ is increased.