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Assign diagrams about global behavior and symmetry (for polynomial functions)

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Published on Jan 5, 2019

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How to Math video overview at https://howtomathe.de Short explanation of how you can recognize global progression and symmetry in the function term and diagram and how you can use this to assign and justify using two examples. Note 1: There is another point symmetry that is easy to recognize, namely point symmetry to a point on the y-axis. In this case, all the exponents are odd and a number without x is added at the end, e.g. in the second example with h: h(x) = 2x³ - x + 1. Here there is point symmetry to (0 1), as can also be seen in the diagram. Note 2: In general, the intersection with the y-axis is also easy to read: All parts with x are then 0 and the number at the end is the y-value, e.g. f(x) = 5x² + 2x - 1 intersects (0 -1). This can also be used for justification (but not here, because each time they all have the same y-axis intersection, so global progression and symmetry must be used).

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