Quartic_functions

Quartic_functions - y = x 1 × x-2 × x 1 × x 1 x y-3-2-1...

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Quartic functions x y -4 -3 -2 -1 0 1 2 3 4 10 20 y = x 4 (the y -axis is an axis of symmetry) and has 4 repeated linear factors is an even function y = x axis of symmetry, or mirror line × x × x × x
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Quartic functions x y -4 -3 -2 -1 0 1 2 3 4 5 and has 1 pair of repeated linear factors and 2 other linear factors y = x 2 ( x 2 - 4) (the y -axis is an axis of symmetry) is an even function axis of symmetry, or mirror line y = x × ( x - 2) × ( x + 2) × x
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Quartic functions x y -3 -2 -1 0 1 2 3 2 4 6 8 y = ( x + 1) 2 ( x - 2) 2 has 2 pairs of repeated linear factors y = ( x + 1) × ( x - 2) × ( x - 2) × ( x + 1)
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Quartic functions y = ( x + 1) 3 ( x - 2) has 3 repeated linear factors and 1 other linear factor
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Unformatted text preview: y = ( x + 1) × ( x-2) × ( x + 1) × ( x + 1) x y-3-2-1 1 2 3-10-5 5 10 Quartic functions y = x 4 -x 3 + x 2 -x • has 2 linear factors and 1 irreducible quadratic factor y = x × ( x 2 + 1) × ( x-1) x y-3-2-1 1 2 3 5 10 Quartic functions x y-3-2-1 1 2 3 5 10 • has 1 pair of repeated linear factors and 1 irreducible quadratic factor y = x × ( x 2 + 1) × x y = x 4 + x 2 (the y-axis is an axis of symmetry) • is an even function axis of symmetry, or mirror line...
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This note was uploaded on 04/12/2011 for the course MATH 2180 taught by Professor Staff during the Spring '11 term at North Texas.

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Quartic_functions - y = x 1 × x-2 × x 1 × x 1 x y-3-2-1...

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