Question

In Problems 64, draw a quick sketch of each equation.

$y=\frac{1}{x}$

Short answer

The graph is shown below:

Step-by-step solution

Given information

The given equation is$y=\frac{1}{x}$.

Make a xy table

$x$	$y$
$4$	$\frac{1}{4}=0.25$
$2$	$\frac{1}{2}=0.5$
$1$	$\frac{1}{1}=1$
$-1$	$\frac{1}{-1}=-1$
$-2$	$\frac{1}{-2}=-0.5$
$-4$	$\frac{1}{-4}=-0.25$

Plot the points.

Plot the points from the above table.

Join the points.

Join the above points.

The graph is shown below:

Write the conclusion

The final graph is shown below: