I have been informed that on March 7th from 6:00am to 6:00pm Central Time Lamar University will be doing some maintenance to replace a faulty UPS component and to do this they will be completely powering down their data center.
Unfortunately, this means that the site will be down during this time. I apologize for any inconvenience this might cause.
Paul
February 18, 2026
Section 3.5 : Graphing Functions
1. Construct a table of at least 4 ordered pairs of points on the graph of the following function and use the ordered pairs from the table to sketch the graph of the function.
\[f\left( x \right) = {x^2} - 2\]Show All Steps Hide All Steps
For this function a selection of points on either side of zero should be sufficient to get an idea of what the graph of this function looks like. We’ll also include zero for no other reason that it will give an extra point on the graph.
Here is the table of points we’ll use for this problem.
| \(x\) | \(f\left( x \right)\) | \(\left( {x,y} \right)\) |
|---|---|---|
| -3 | 7 | \(\left( { - 3,7} \right)\) |
| -1 | -1 | \(\left( { - 1, - 1} \right)\) |
| 0 | -2 | \(\left( {0, - 2} \right)\) |
| 1 | -1 | \(\left( {1, - 1} \right)\) |
| 3 | 7 | \(\left( {3,7} \right)\) |
Here is a sketch of the function.
