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Any 4 points in the Cartesian plane determine a unique equation that is of degree at most three (i.e., a "cubic" equation). It is, of course, possible that the 4 points actually lie on a degree two ("quadratic"), a degree one ("linear"), or a degree zero ("constant") equation. However, if the 4 points do not lie on a constant, linear, or quadratic curve, then they will like on a unique cubic curve.
In general, N points will determine a unique curve of degree at most (N-1).
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What is the equation for a cubic graph with points (42)?
y= ax^3+bx^2+cx-42, assuming the point was (0, 42)
By which process does a cubic equation draw into the graph?
By the process of plotting.
When we plot all the points that satisfy an equation or inequality we do what to it?
Graph it (the equation).
How are the graph of an equation and the set of all solutions of an equation related?
The coordinates of every point on the graph, and no other points, are solutions of the equation.
How do you graph when the equation is not slope intercept form?
To graph an equation that is not in slope-intercept form, you can use the process of finding points on the graph and plotting them. Choose a few x-values, plug them into the equation to find the corresponding y-values, and plot those points on the graph. Then, connect the points with a smooth line to complete the graph.
