Assignment 3

Quadratic and Cubic Equations

Investigation 3

Additional Graphs on the xb Plane

Let us look again at the graph of in the xb plane. If we take the derivative of our equation we get the equation , and if we graph both equations on the same graph we can see a very important relationship.

By looking at the two graphs it is clear that the line of intersects the parabolas of at their respective minimum and maximum. This relationship can be used when a graphing tool is not available, and we need to find the minimum or maximum value of an equation.

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