# data[].attributes.headline
joseph-louis Lagrange's birthday is January 25, 1736

# data[].attributes.subject
joseph-louis Lagrange's birthday is January 25, 1736

# data[].attributes.body
the polynomial is -x^{6}-2x^{5}+5x^{4}-x^{3}+7x^{2}-3x-6

# data[].attributes.body
the domain is all real numbers.
there are no numbers that cant be used.
range is (-∞,255.865). this is the highest point on the graph.

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my leading coefficient is -1, which effects the graph by making the polynomial end up downwards.

# data[].attributes.body
my highest degree is 6, which is the highest exponent in my polynomial.

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my three turning points are
(-2.951, 255.865)
(0.212, -6.322)
(1.3441, 1.8345)

# data[].attributes.body
my y-intercept is (0,-6)

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my 4 real zeros are
(-3.6, 0)
(-0.6, 0)
(1.0, 0)
(1.5, 0)

# data[].attributes.body
X → -∞, f(x) → -∞
X → +∞, f(x) → -∞

# data[].attributes.body
absolute max (-2.9, 255.8)
relative max (1.3, 1.8)
absolute min  N/A
relative min (0.2, -6.3)

# data[].attributes.body
intervals of increase
(-∞, -2.9)
(0.2, 1.8)
intervals of decrease
(-2.9, 0.2)
(-2.9, 0.2)

# data[].attributes.body
The polynomial is neither it is not symmetrical about the y axis like an even one would be. it also does not have all even or all odd exponents.

# data[].attributes.body
Mr. Lagrange was born with a very serious birth defect and was told he wouldn't live which is shown by his life being started at (0,-6), but proving everyone wrong he lived to be 77 and become a very important and famous mathematician as shown in the increase of his life at (1.3, 1.8). He then later got drug by a horse to the desert and after the horse ran over him he got bit by a rattlesnake and died as seen in the decrease to -∞.