CPM Homework Banner
7-19.

Complete the table of values for . 7-19 HW eTool (Desmos). Homework Help ✎

x

–2

–1

0

1

2

3

y

  1. Graph the points in the table. What kind of function does it appear to be? Why is it not correct to connect all of the dots?

  2. Look for a simple pattern for the values in the table. What appears to be the relationship between ? Calculate and and add the points to your graph. Is there an asymptote at ? If you are unsure, calculate and as well.

  3. Simplify the formula for . What do you think the complete graph looks like?

Doing the substitutions yourself will help you understand what is happening in this problem.

Notice that there is no point at .

The relationship between appears to be linear. .
Although the line is approaching the point from both sides, a point is not an asymptote.

Use the eTool below to complete the table.
Click the link at right for the full version of the eTool: CCA2 7-19 HW eTool