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Discrete Function Composition

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g(x)
g0
0
1
2
3
g1
0
1
2
3
g2
0
1
2
3
g3
0
1
2
3
f(x)
f0
0
1
2
3
f1
0
1
2
3
f2
0
1
2
3
f3
0
1
2
3
connect
True
False
This Demonstration lets you explore finite function composition by varying the values of two functions whose domain and range are each {0, 1, 2, 3}, a common precalculus exercise. The connect option is provided as a graphing aid—the lines should not be considered part of the function.
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