HP 48g Graphing Calculator - Manual (Page 293)

Analyzing Functions
The PICTURT FCN menu lets you analyze the mathematical
behavior of plotted functions. You use the graphics cursor to indicate
the region or point of interest on the graph, then execute the desired
calculation from the menu. You can calculate function values, slopes,
areas under curves, roots, extrema and other critical points, and
intersections of two curves. You can also plot derivatives of plotted
functions.
To do function analysis, the current plot type must be Funct ion.
In addition, E Q must contain an equation, expression, or a list of
equations or expressions— i t c a n n o t c o n t a i n a p r o g r a m .
If E Q is a list of expressions, FCN menu operations use only the first
(or first and second) element(s) of the list. The HxEQ operation is
used to rotate the elements of the list so that different expressions are
‘Trst” and “second.”
1. While viewing the plot, press FCN .
2. Press ®(Da® to move the cursor to the point you want to
analyze. (For certain operations, the cursor merely needs to be n e a r
the point.)
3. Press the menu key for the function analysis operation you want.
See the table below.
4. Press F’ I CT (in the second page of the FCN menu) to return to
the main PICTURE menu.
When you perform a function analysis operation, the HP 48 does the
following:
■ Moves the cursor to the corresponding point on the function (if that
point is in the display).
■ Displays a message in the low^er-left corner of the display showing
the result.
■ Returns the result to the stack as a tagged object.
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Plotting 22-9