Another way of detecting points of interest on a TI-Nspire Graphs page is to use the Analyze Graph tool. Use the tool to find a local maximum by pressing [MENU]→Analyze Graph→Maximum. The on-screen prompt asks, “lower bound?” Move the cursor and press [ENTER] to choose the lower bound of the search region.
Another prompt asks, “upper bound?” Again, move the cursor and press [ENTER] to choose the upper bound of the search region. The tool identifies the local maximum and plots the ordered pair. This tool can also be accessed by right-clicking ([CTRL][MENU]) the graph of the function.
Open the entry line by pressing [CTRL][G]. Enter the function f2(x) = 2x – 3.
The Analyze Graph tool can also be used to find points of intersection; however, it can find only one point of intersection at a time. The smart thing to do is to only include the point of intersection that you want in the specified range of the function graph. In the second screen, this technique is used to find one of the intersection points of f1(x) and f2(x).
In addition, the Analyze Graph tool can find the derivative at a point and the definite integral. (See the third screen.)
Using TI-Nspire CAS, you can use the Analyze Graph tool to find an inflection point.