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Graphic functions - UNSA UDEC 2000
graphical recognition of functions.
90 2000
2
H6 U1
analysis, calculus
graph, curve, derivative, integral


This is extracted and translated from a sheet used in a Mathematical
Discovery course for first year science students at
Université de Nice - Sophia Antipolis. It gathers several exercises whose
goal is to reenforce the recognition of the relation between a real
function and its graph.

:H5/analysis/graphfunc.en
listype=1&repeat=3
10
0.5
Graphic functions I
recognize the graph of f(-x), -f(x), or -f(-x) from that of f(x).
:H5/analysis/graphfunc.en
listype=2&repeat=3
10
0.5
Graphic functions II
recognize the graph of f(x+1), f(x)+1, etc. from that of f(x).
:H5/analysis/graphfunc.en
listype=3&repeat=3
10
0.5
Graphic functions III
recognize the graph of f(2x), 2f(x), etc. from that of f(x).
:H5/analysis/graphadd.en
listype=1&repeat=3
10
0.6
Graphic addition
recognize the graph of f(x)+g(x) from that of f and g, etc.
:H6/analysis/graphmult.en
listype=2&repeat=3
10
0.8
Graphic multiplication
recognize the graph of f(x)g(x) from that of f and g, etc.
:H6/analysis/graphinv.en
asktype=1&asktype=2&asktype=3&asktype=4&present=4&list=4&repeat=3
10
1
Graphic inverse
recognize the graph of an inverse function (a bit harder).
:U1/analysis/graphder.en
asktype=1&present=3&list=3&repeat=3
10
0.5
Graphic derivative I
recognize the graph of the derivative of a function.
:U1/analysis/graphder.en
asktype=1&asktype=2&asktype=3&asktype=4&present=4&list=4&repeat=3
10
1
Graphic derivative II
recognize the graph of the derivative of a function (more difficult).
:H6/geometry/coincfree.en
Degree=4&maxsize=35&maxreply=7&bend=0&break=0
20
1
Coincidence Freehand
find the best approximation of a given curve.