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348 Functions and commands
Function app functions
The Function app functions provide the same functionality found in
the Function app's Plot view under the FCN menu. All these
operations work on functions. The functions may be expressions in
X or the names of the Function app variables F0 through F9.
AREA Area under a curve or between curves. Finds the signed area
under a function or between two functions. Finds the area
under the function Fn or below Fn and above the function Fm,
from lower X-value to upper X-value.
AREA(Fn,[Fm,]lower,upper)
Example:
AREA(-X,X
2
-2,-2,1) returns 4.5
EXTREMUM Extremum of a function. Finds the extremum (if one exists) of
the function Fn that is closest to the X-value guess.
EXTREMUM(Fn, guess)
Example:
EXTREMUM(X
2
-X-2,0) returns 0.5
ISECT Intersection of two functions. Finds the intersection (if one
exists) of the two functions Fn and Fm that is closest to the X-
value guess.
ISECT(Fn,Fm,guess)
Example:
ISECT(X,3-X,2) returns 1.5
ROOT Root of a function. Finds the root of the function Fn (if one
exists) that is closest to the X-value guess.
ROOT(Fn,guess)
Example:
ROOT(3-X
2
,2) returns 1.732…
SLOPE Slope of a function. Returns the slope of the function Fn at the
X-value (if the function’s derivative exists at that value).
SLOPE(Fn,value)
Example:
SLOPE(3-X
2
,2) returns -4