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Dudeney puzzle A curve sketched with the help of calculusThis graph of f(x) = x3 − 3x + 2 illustrates the essential steps in constructing a graph. The local maximum (at x = − 1) and the local minimum (at x = 1) are first plotted. Then a value for x is chosen from each of the three resulting ranges, x < −1, −1 < x < 1, and 1 < x, to suggest the general shape of the curve. Further values for x may be chosen to produce a more accurate graph. basic types of graphs K3,2 Eulerian circuit two homeomorphic graphs A and B two isomorphic graphs and a tree Examples of linear graphs K5 planar graph and nonplanar graph compared
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Photos

Dudeney puzzle
A curve sketched with the help of calculusThis graph of f(x) = x3 − 3x + 2 illustrates the essential steps in constructing a graph. The local maximum (at x = − 1) and the local minimum (at x = 1) are first plotted. Then a value for x is chosen from each of the three resulting ranges, x < −1, −1 < x < 1, and 1 < x, to suggest the general shape of the curve. Further values for x may be chosen to produce a more accurate graph.
basic types of graphs
K3,2
Eulerian circuit
two homeomorphic graphs A and B
two isomorphic graphs and a tree
Examples of linear graphs
K5
planar graph and nonplanar graph compared
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Equations written on blackboard
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