
Summary of FCN operations
Operation Description
Sketch Starts Sketch Mode, which enables you to sketch a function with your nger.
NOTE: This is the same function as .
Denition Opens the editor for the selected function denition in Plot view, which enables you to directly edit the
function denition or transform the graph.
Transform Starts Transformation Mode.
In Transformation Mode, you can translate the selected function vertically or horizontally, dilate the
selected function horizontally, or directly edit the function denition.
Root Select Root to nd the root of the current function nearest to the tracing cursor. The cursor is moved to
the root value on the x-axis and the resulting x-value is saved in a variable named Root. If no root is
found, but only an extremum, then the result is labeled Extremum instead of Root.
Intersection Select Intersection to nd the intersection of the graph you are currently tracing and another graph.
You need to have at least two selected expressions in Symbolic view. Finds the intersection closest to
the tracing cursor. Displays the coordinate values and moves the cursor to the intersection. The
resulting x-value is saved in a variable named Isect.
Slope Select Slope to enable or disable the ability to display the numeric derivative of the current function at
the current position of the tracing cursor. The result is saved in a variable named Slope.
Signed area Select Signed area to nd the numeric integral. (If there are two or more expressions selected, then
you will be asked to choose the second expression from a list that includes the x-axis.) Select a starting
point and an ending point. The result is saved in a variable named SignedArea.
Extremum Select Extremum to nd the maximum or minimum of the current function nearest to the tracing
cursor. The cursor moves to the extremum and the coordinate values are displayed. The resulting x-
value is saved in a variable named Extremum.
Tangent Select Tangent to enable or disable the ability to draw a line tangent to the current function graph
through the current position of the tracing cursor.
Dening functions in terms of derivatives or integrals
The Function app accepts functions dened in terms of derivatives or integrals. This section describes the
methods for each of these cases, with examples.
Functions dened by derivatives
Suppose we wish to plot the graph of the function f(x), dened by . We could
enter this function directly, but here we
dene the function as F1(X) and its derivative in F2(X).
1.
Press to go to the Symbolic view.
Summary of FCN operations 129
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