How do you graph a cubic function?
We can graph cubic functions by transforming the basic cubic graph. The basic cubic graph is y = x3. For the function of the form y = a(x − h)3 + k. If k > 0, the graph shifts k units up; if k < 0, the graph shifts k units down.
What is a trivalent graph?
In the mathematical field of graph theory, a cubic graph is a graph in which all vertices have degree three. In other words, a cubic graph is a 3-regular graph. Cubic graphs are also called trivalent graphs. A bicubic graph is a cubic bipartite graph.
Can we have a cubic graph on 5 vertices?
On 5 vertices: there are two of them; one with every vertex of degree 2 and the other with degrees of 1, 1, 2, 3, 3. On 6 vertices: there are none. Investigation: Let n be the number of vertices of a graph.
What are cubic graphs called?
Cubic graphs, also called trivalent graphs, are graphs all of whose nodes have degree 3 (i.e., 3-regular graphs).
Is every cubic graph bridgeless?
Every cubic, bridgeless graph contains a perfect matching. In other words, if a graph has exactly three edges at each vertex, and every edge belongs to a cycle, then it has a set of edges that touches every vertex exactly once.
Is Petersen graph cubic?
The Petersen graph is named after Julius Petersen, who in 1898 constructed it to be the smallest bridgeless cubic graph with no three-edge-coloring….
| Petersen graph | |
|---|---|
| Properties | Cubic Strongly regular Distance-transitive Snark |
| Table of graphs and parameters |
What is a cubic function graph?
Graphing cubic functions gives a two-dimensional model of functions where x is raised to the third power. Graphing cubic functions is similar to graphing quadratic functions in some ways. In particular, we can use the basic shape of a cubic graph to help us create models of more complicated cubic functions.
https://www.youtube.com/watch?v=0ahZhNQILLE