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Generated in gnuplot with the following script: set terminal svg size 1000 1000 fixed enhanced fname 'Times' fsize 36 set output "X_cubed_plot.svg" set samples 5000 set xrange [-4:4] set yrange [-12:12] set grid set xzeroaxis linewidth 2 set yzeroaxis linewidth 2 set key left unset border plot x**3 lw 4
The following other wikis use this file: Usage on de.wikipedia.org Sattelpunkt; Usage on de.wikibooks.org Mathematrix: Aufgabensammlung/ Kurvendiskussion
Graph showing the relationship between the roots, turning or stationary points and inflection point of a cubic polynomial and its first and second derivatives by CMG Lee. The vertical scale is compressed 1:50 relative to the horizontal scale for ease of viewing.
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English: 3-hypercube graph. This hypercube graph is an orthogonal projection. This oriented projection shows columns of vertices positioned a vertex-edge-vertex distance from one vertex on the left to one vertex on the right, and edges attaching adjacent columns of vertices.
According to Brooks' theorem every connected cubic graph other than the complete graph K 4 has a vertex coloring with at most three colors. Therefore, every connected cubic graph other than K 4 has an independent set of at least n/3 vertices, where n is the number of vertices in the graph: for instance, the largest color class in a 3-coloring has at least this many vertices.
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The graph of any cubic function is similar to such a curve. The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions. Although cubic functions depend on four parameters, their graph can have only very few shapes. In fact, the graph of a cubic function is always similar to the graph of a function of ...