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The
graphs of the
quartic functions |
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The
basic classification diagram for the quartic function |
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The
graphs of the quartic function
types 4/1 . . . 6 |
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| The
basic classification diagram for the quartic polynomial function |
| By
setting the coefficients a2
and a1
of the source quartic to zero, interchangeably, obtained is the
basic classification shown in the diagram. |
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| There are
ten types (shapes of the graphs) of quartic functions. |
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| The
graphs of the quartic function
types 4/1 . . . 6 |
| Remaining
six types of quartic polynomial satisfy the criteria shown in the
diagram below. |
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| The
roots of the source quartic
y
=
a4x4
+
a2x2
+
a1x
Types,
4/1, 4/2, 4/3 and 4/4 |
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| the
roots of the Types,
4/5 and 4/6 |
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| The
abscissa of the turning point of the Types,
4/1, 4/2 and 4/3 |
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| the
abscissas of the turning points of the Types, 4/4,
4/5 and 4/6 |
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| The
abscissas of the points of inflection of the
source quartic of Types 4/2
to 4/6, |
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| The
roots of the translated quartic Type 4
we get by adding x0
to the solutions of the equation |
| a4x4
+
a2x2
+
a1x
+
y0
= 0. |
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| Functions
contents C |
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| Copyright
© 2004 - 2020, Nabla Ltd. All rights reserved. |
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